Least Common Multiple of 56, 28, 287
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 56, 28, 287 i.e. 2296 smallest integer divisible by all numbers.
Least common multiple (LCM) of 56, 28, 287 is 2296.
LCM(56, 28, 287) = 2296
LCM of 56, 28, 287
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
- Least Common Multiple of 56, 28, 287 by common division method
- Least Common Multiple of 56, 28, 287 with GCF Formula
Least Common Multiple (LCM) of 56,28,287 is 2296
| 2 | 56, 28, 287 |
| 2 | 28, 14, 287 |
| 7 | 7, 14, 287 |
| 1, 2, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 2 x 41 = 2296
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 56,28,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,28,287) = 7
common factors(in case of two or more numbers have common factors) = 28
GCF(56,28,287) x common factors =7 x 28 = 196
LCM(56,28,287) = ( 56 × 28 × 287 ) / 196
LCM(56,28,287) = 450016 / 196
LCM(56,28,287) = 2296
∴ Least Common Multiple of 56,28,287 is 2296
LCM of two or more Numbers Calculation Examples
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Frequently Asked Questions on LCM of 56, 28, 287
1. What is the LCM of 56, 28, 287?
Answer: LCM of 56, 28, 287 is 2296.
2. What are the Factors of 2296?
Answer: Factors of 2296 are . There are integers that are factors of 2296
3. How to Find the LCM of 56, 28, 287 ?
Least Common Multiple of 56, 28, 287.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(56, 28, 287) = 2 x 2 x 2 x 7 x 41 = 2296.