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What is the difference between finding the least common multiple and finding the greatest common factor?
Wiki User
∙ 7y ago
The least common multiple is the lowest number that is a multiple of the numbers in question.
E.g. 12 is the lowest common multiple of 4 and 6
The greatest common factor is the highest number that will go into 2 or more numbers in question.
E.g. 6 is the highest common factor of 12 and 18.
You can find the LCM and GCF of any 2 or more numbers using prime factorisation. E.g.
Let's use 96 and 102 to find the greatest common factor of.
We need to split each number into 2 factors, and keep going until we can't go any further.
96 = 2 x 48
= 2 x 2 x 24
= 2 x 2 x 2 x 12
= 2 x 2 x 2 x 2 x 6
= 2 x 2 x 2 x 2 x 2 x 3
102 = 2 x 51
= 2 x 3 x 17
96 = 2 x 2 x 2 x 2 x 2 x 3
102 = 2 x 3 x 17
If we find all the numbers that are common in both numbers and multiply them together, we get the GCF. In this case there's a 2, and a 3 in both of the numbers. 2 x 3 is 6. Therefore, the GCF of 96 and 102 is 6.
To find the LCM we do the same as finding the GCF, right down to actually finding the GCF, but then multiply all the remaining numbers as well. There's 4 lots of 2, and a 17 left. 2 x 2 x 2 x 2 x 17 = 272.
6 x 272 = 1632, which is the LCM of 96 and 102.
1632 = 16 x 102
1632 = 17 x 96
Wiki User
∙ 7y ago
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What is the least common multiple of 1386 and 2058?
The least common multiple is the product of the two numbers divided by their greatest common factor. The greatest common factor of 1386 and 2058 is 42. (See related question for information on finding their GCF.) So, the least common multiple is 1386 x 2058 ÷ 42 = 67,914.
What are all the steps to finding the greatest common factor?
Hug
How can you order rational numbers from least to greatest?
first finding the whole number and then sort them out from least to greatest in answers
How do I find a common denominator in a fraction?
By finding the lowest common multiple of the denominators
Why do you need the common prime factors when finding the greatest common factor?
You do not necessarily need the common prime factors when finding the greatest common factor, but with large numbers or numbers for which you cannot easily determine all the factors, using prime factorization to determine the greatest common factor is the easiest method. The greatest common factor can then be determined by multiplying the common prime factors together. For example, when trying to find the greatest common factor of 2144 and 5672, finding all their possible factors to compare could be difficult. So, it is easier to find their prime factors, determine the prime factors they have in common, and then multiply the common prime factors to get the greatest common factor. For descriptions and examples of finding the greatest common factor, see the "Related Questions" links below.
What is the difference between finding a factor and finding a multiple?
a factor is what you multiply by a multiple is the answer
When do you use GCF and LCM?
Gcf you use when you are finding the greatest factor for the numbers. Lcm you use when you are finding the smallest multiple in the numbers factors
What is the difference between innovation and finding?
Innovation is something new. Finding is rediscovering something.
Which strategy of finding the greatest common factor and least common multiple do you prefer?
My preferred strategy is factorisation and Venn diagrams.
Subtracting one number from another is finding what between them?
That is called the difference between them.
How do you decide when to compare numbers using ratios rather by finding the difference of the two numbers?
Finding the difference between two numbers involves rationalising them
Difference between research discovery and invention?
Research is finding relation between founded items new relation but invent finding out of new points or things.
What is the least common multiple of 1386 and 2058?
The least common multiple is the product of the two numbers divided by their greatest common factor. The greatest common factor of 1386 and 2058 is 42. (See related question for information on finding their GCF.) So, the least common multiple is 1386 x 2058 ÷ 42 = 67,914.
Is there any difference between research and facts finding?
it depends on your religious beliefs
What is the difference between finding the factors of a number and finding the prime factors of a number?
No difference. Once you've found the factors of a number, the prime numbers on that list are the prime factors.
Who wrote this quote - 'The greatest challenge in life is finding someone who knows your flaws difference and mistakes and still loves you with everything they have'?
Moses Horowitz
What is the lowest common multiple 64 and 10?
The Least Common Multiple of 64 and 10 can be determined by finding the Greatest Common Factor of the two, which is 2, and 64/2(10/2)*2 = 32(10) = 320.
