Least Common Multiple of 56, 98, 54, 294

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, 98, 54, 294 i.e. 10584 smallest integer divisible by all numbers.

Least common multiple (LCM) of 56, 98, 54, 294 is 10584.

LCM(56, 98, 54, 294) = 10584

LCM of 56, 98, 54, 294

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 56,98,54,294

Least Common Multiple (LCM) of 56,98,54,294 is 10584

2 56, 98, 54, 294
3 28, 49, 27, 147
7 28, 49, 9, 49
7 4, 7, 9, 7
4, 1, 9, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 7 x 4 x 1 x 9 x 1 = 10584

Least Common Multiple of 56,98,54,294 with GCF Formula

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 56,98,54,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,98,54,294) = 2

common factors(in case of two or more numbers have common factors) = 4116

GCF(56,98,54,294) x common factors =2 x 4116 = 8232

LCM(56,98,54,294) = ( 56 × 98 × 54 × 294 ) / 8232

LCM(56,98,54,294) = 87127488 / 8232

LCM(56,98,54,294) = 10584

∴ Least Common Multiple of 56,98,54,294 is 10584

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 56, 98, 54, 294

1. What is the LCM of 56, 98, 54, 294?

Answer: LCM of 56, 98, 54, 294 is 10584.

2. What are the Factors of 10584?

Answer: Factors of 10584 are . There are integers that are factors of 10584

3. How to Find the LCM of 56, 98, 54, 294 ?

Least Common Multiple of 56, 98, 54, 294.

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, 98, 54, 294) = 2 x 2 x 2 x 3 x 3 x 3 x 7 x 7 = 10584.