LCM for 56 and 210
What's the Least Common Multiple (LCM) of 56 and 210?
(Eight hundred forty)
Finding LCM for 56 and 210 using GCF's of these numbers
The first method to find LCM for numbers 56 and 210 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 56 and 210 is 14, so
LCM = (56 × 210) ÷ 14
LCM = 11760 ÷ 14
LCM = 840
Finding LCM for 56 and 210 by Listing Multiples
The second method to find LCM for numbers 56 and 210 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 56: 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728, 784, 840, 896, 952
Multiples of 210: 210, 420, 630, 840, 1050, 1260
So the LCM for 56 and 210 is 840
Finding LCM for 56 and 210 by Prime Factorization
Another method to find LCM for numbers 56 and 210 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 56: 2, 2, 2, 7 (exponent form: 23, 71)
All Prime Factors of 210: 2, 3, 5, 7 (exponent form: 21, 31, 51, 71)
23 × 71 × 31 × 51 = 840
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LCM Table
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers