Question 508023: Could you please show me the steps to get Least Common Multiple for 28,40,56
Found 2 solutions by tinbar, MathTherapy:
Answer by tinbar(133)   (Show Source):
You can put this solution on YOUR website! First get their common divisor:
To do that, prime factorize each one, that is re write the number as a product of primes:
28 = 2*2*7
40 = 2*2*2*5
56 = 2*2*2*7
Next, from the lists of prime factorizations find the common numbers. In this case, we only have 2*2 which is common to all lists. So the greatest common divisor in this case is 2*2 which is 4.
Now, to find the least common multiple, multiply the numbers in the given question and then divide it by it's greatest common divisor. In this case, (28*40*56)/4 = 15,680
Answer by MathTherapy(10555)  (Show Source):
You can put this solution on YOUR website! Could you please show me the steps to get Least Common Multiple for 28,40,56
The first thing to do is find the prime factors of each number, as follows:
28 = 2 * 2 * 7
40 = 2 * 2 * 2 * 5
56 = 2 * 2 * 2 * 7
Now we need to select the greatest number of EACH prime factor, and multiply them
As seen, there are 3 different prime factors (2, 5, & 7)
The greatest amount of 2s is 3 (2 * 2 * 2)
The greatest amount of 5s is 1 (5)
The greatest amount of 7s is 1 (7)
Therefore, our LCM will be  , or 2 * 2 * 2 * 5 * 7, or 
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