Least Common Multiple of 56, 76, 24, 289

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, 76, 24, 289 i.e. 922488 smallest integer divisible by all numbers.

Least common multiple (LCM) of 56, 76, 24, 289 is 922488.

LCM(56, 76, 24, 289) = 922488

LCM of 56, 76, 24, 289

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

LCM of:

Least Common Multiple of 56,76,24,289

Least Common Multiple (LCM) of 56,76,24,289 is 922488

2 56, 76, 24, 289
2 28, 38, 12, 289
2 14, 19, 6, 289
7, 19, 3, 289

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 19 x 3 x 289 = 922488

Least Common Multiple of 56,76,24,289 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 56,76,24,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,76,24,289) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(56,76,24,289) x common factors =1 x 32 = 32

LCM(56,76,24,289) = ( 56 × 76 × 24 × 289 ) / 32

LCM(56,76,24,289) = 29519616 / 32

LCM(56,76,24,289) = 922488

∴ Least Common Multiple of 56,76,24,289 is 922488

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 56, 76, 24, 289

1. What is the LCM of 56, 76, 24, 289?

Answer: LCM of 56, 76, 24, 289 is 922488.

2. What are the Factors of 922488?

Answer: Factors of 922488 are . There are integers that are factors of 922488

3. How to Find the LCM of 56, 76, 24, 289 ?

Least Common Multiple of 56, 76, 24, 289.

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, 76, 24, 289) = 2 x 2 x 2 x 3 x 7 x 17 x 17 x 19 = 922488.