Least Common Multiple of 292, 232, 574, 217, 742

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 292, 232, 574, 217, 742 i.e. 7986018376 smallest integer divisible by all numbers.

Least common multiple (LCM) of 292, 232, 574, 217, 742 is 7986018376.

LCM(292, 232, 574, 217, 742) = 7986018376

LCM of 292, 232, 574, 217, 742

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

LCM of:

Least Common Multiple of 292,232,574,217,742

Least Common Multiple (LCM) of 292,232,574,217,742 is 7986018376

2 292, 232, 574, 217, 742
2 146, 116, 287, 217, 371
7 73, 58, 287, 217, 371
73, 58, 41, 31, 53

∴ So the LCM of the given numbers is 2 x 2 x 7 x 73 x 58 x 41 x 31 x 53 = 7986018376

Least Common Multiple of 292,232,574,217,742 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 292,232,574,217,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,232,574,217,742) = 1

common factors(in case of two or more numbers have common factors) = 784

GCF(292,232,574,217,742) x common factors =1 x 784 = 784

LCM(292,232,574,217,742) = ( 292 × 232 × 574 × 217 × 742 ) / 784

LCM(292,232,574,217,742) = 6261038406784 / 784

LCM(292,232,574,217,742) = 7986018376

∴ Least Common Multiple of 292,232,574,217,742 is 7986018376

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 292, 232, 574, 217, 742

1. What is the LCM of 292, 232, 574, 217, 742?

Answer: LCM of 292, 232, 574, 217, 742 is 7986018376.

2. What are the Factors of 7986018376?

Answer: Factors of 7986018376 are . There are integers that are factors of 7986018376

3. How to Find the LCM of 292, 232, 574, 217, 742 ?

Least Common Multiple of 292, 232, 574, 217, 742.

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(292, 232, 574, 217, 742) = 2 x 2 x 2 x 7 x 29 x 31 x 41 x 53 x 73 = 7986018376.