How to find the Least Common Multiple of 49 and 56?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 49 and 56.
Follow the steps below, and let's calculate the LCM of 49 and 56.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 49 and 56:
Prime factors of 49
The prime factors of 49 are 7 and 7. Prime factorization of 49 in exponential form is:
49 = 72
Prime factors of 56
The prime factors of 56 are 2, 2, 2 and 7. Prime factorization of 56 in exponential form is:
56 = 23x71
Step 2: Identify the highest power of each prime number from the above boxes:
72, 23
Step 3: Multiply these values together:
72x23=392
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 49 and 56.
The Least Common Multiple of 49 and 56 is 392.
Method 2 - List of Multiples
Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.
Multiples of 49:
49, 98, 147, 196, 245, 294, 343, 392, 441, 490, 539
Multiples of 56:
56, 112, 168, 224, 280, 336, 392, 448, 504, 560
Therefore,
LCM(49, 56) = 392