LCM of 8 and 12
LCM of 8 and 12: The LCM is the smallest number by which all numbers are divided without leaving a remainder.
- List the prime factors of each number.
- Multiply each factor the most significant number of times in any number.
Least Common Multiple of 8 & 12 – Video & Lesson Transcript
The smallest positive integer that divides the integers 8 and 12 without leaving a remainder is the LCM of 8 and 12. The lowest common multiple of 8 and 12 incomplete words.
Here, you can find the lcm of 8 and 12 and three methods to calculate it. In addition, we have a calculator available that you should try.
It can determine the lcm of 8 and 12 and that of three or more integers, including eight and twelve.
Read on to learn more about the LCM (8,12) and related concepts.
What is the LCM of 8 and 12
If you want to know what is the least common multiple of 8 and 12, the answer is 24.
Usually, this is written as
lcm(8,12) = 24
The lcm of 8 and 12 can be obtained as follows:
The multiples of 8 are 16, 24, 32,
The multiples of 12 are 12, 24, 36,
The two abovementioned sets are intersected by the common multiples of 8 and 12.
In the intersection of multiples of 8 ∩ and 12, the smallest positive element is 24.
As a result, 24 is the least common multiple of 8 and 12.
Considering the above, you will know how to find all the common multiples of 8 and 12, not just the least.
In the next section, we show you how to calculate the lcm of eight and twelve using two more methods.
How to find the LCM of 8 and 12
The greatest common divisor, or gcd of 8 and 12, may be used to find the least common multiple of 8 and 12. This is the simplest method:
lcm(8,12) == 24
Another way to calculate the LCM of 8 and 12 is by using the prime factorization of 8 and 12:
2 x 2 x 2 is the prime factorization of 8.
2 x 2 x 3 is the prime factorization of 12.
Eliminate the duplicate factors in both lists and multiply them once with the remaining elements to get the lcm(8,8) = 24
The easiest way to calculate the LCM of two numbers like 8 and 12 is by using our calculator.
It can also calculate the lcm of more than two numbers, separated by commas. For example, type 8.12 without pressing the button.
Here you can learn all about the Least Common Multiple.
Utility of the LCM of 8 and 12
What is the least common of 8 and 12 used for? Answer: It helps add and subtract fractions like 1/8 and 1/12.
Multiply the dividends and divisors by 3 and 2, respectively, so that the divisors have the value of 24 and the LCM of 8 and 12.
Properties of the LCM
- The most important properties
- Commutative Property
- Associative Property
- Associativity helps find the LCM of three or more numbers; our calculator uses it.
- You have come to the right page if you look for the same if you searched for in your preferred search engine.
Finally, Note that you can find the most significant common factor of many integer pairs, including eight / twelve, by using the search form in the sidebar of this page.
The lowest common multiple of 8 and 12
Why do we need to find the least common multiple of 8 and 12? We have to find the least common multiple of 8 and 12 when we want to add or subtract two fractions with denominators of 8 and 12.
It is necessary because the denominators have to be the same to add or subtract fractions. When they are the same, you can add or subtract the numerators.
However, Here we will show you how to find the least common multiple of 8 and 12 and calculate the multiplier you need to multiply each number by to get the LCM.
We build a list of the multiples of 8 and a list of the multiples of 12 to determine the least frequent multiple of 8 and 12. Then we compare the two lists to see which one has the lowest number in common.
To make a list of multiples of any number, we multiply the number by 1, then 2, then 3, and so on, indefinitely. The list of multiples of any number is infinitely long, so obviously, we can’t list all of them. However, you can see the beginning of the list of 8 and multiples of 12 below.
However, After comparing the two lists of multiples, we find that the lowest number they have in common is 24.
More About Lowest common multiple of 8 and 12
To find the two multipliers that we need to multiply 8 and 12 by, we divide 24 by the numbers like this:
24 ÷ 8 = 3
However, For the fraction that has a denominator of 8, we multiply the numerator and denominator by 3.
24 ÷ 12 = 2
However, For the fraction that has a denominator of 12, we multiply the numerator and denominator by 2.
Now, both fractions have the same denominator, and you can add or subtract the fractions without any problem. Pretty easy, right?
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LCM of 9 and 12
However, LCM of 9 and 12 is the negligible figure among all common multiples of 9 and 12. And also, The first hardly any multiples of 9 and 12 are (9, 18, 27, 36, 45, . . . ) and (12, 24, 36, 48, 60, . . . ) respectively. There are three methods to find LCM of 9 and 12 – by division method, listing multiples, and prime factorization.
And also, We try to make our calculators and conversions as accurate as possible, but we can’t guarantee it. As a result, please double-check other sources for accuracy before utilizing any of our tools, information, or data.
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