There is really so such thing as a "greatest common multiple." Once you find the least common multiple (LCM) of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.
greatest common multiple can be 100 digit number or many digit number.. but the lowest common multiple is 44..
The Greatest Common Factor of 21, 30, 44: 1
The least common multiple is the product of the two numbers divided by their greatest common factor. The greatest common factor of 44 and 60 is 4, so the least common multiple is 44 x 60 ÷ 4 = 660.
The greatest common multiple would have a countless number of digits, but the least common multiple of 6, 16, and 44 is 528 (24 x 3 x 11).
The Greatest Common Factor of 44, 42, 3: 1
924
4620
21 = 3 x 7 30 = 2 x 3 x 5 44 = 2 x 2 x 11 GCF = 1
The greatest common multiple of any set of integers is infinite.
Least Common Multiple (LCM) for 21 24 is 168.
The first question you need to investigate: Is there ANYnumber that is a common factor of 21, 30, and 44 ?If we can't find at least two of them, then we don't have to worry about "greatest".The factors of 21 are: 1, 3, 7, and 21.The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, and 30.The factors of 44 are: 1, 2, 4, 11, 22, and 44.The only factor common to 21, 30, and 44 is '1'.Technically, I guess the answer to the question is 'Yes'. There is one common factor, so it'salso the greatest.
The GCF of 21 and 44 is 1. The only proper divisors of 21 are 3 and 7. The only proper divisors of 44 are 2,4 and 11. So, could it be that there are no common factors? No! We forgot about 1 which is a divisor of every number. 1 is the only common factor of 21 and 44, so it has to be the greatest. Rule: if nothing else divides two numbers the greatest common factor is 1. We say such numbers are relatively prime to each other. 21 is relatively prime to 44 and 44 is relatively prime to 21 but neither number is prime. Exercise : Prove : If p and q are two different primes, then p and q are relatively prime.