Least Common Multiple of 744, 742, 490, 743, 658

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 744, 742, 490, 743, 658 i.e. 337366193640 smallest integer divisible by all numbers.

Least common multiple (LCM) of 744, 742, 490, 743, 658 is 337366193640.

LCM(744, 742, 490, 743, 658) = 337366193640

LCM of 744, 742, 490, 743, 658

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

LCM of:

Least Common Multiple of 744,742,490,743,658

Least Common Multiple (LCM) of 744,742,490,743,658 is 337366193640

2 744, 742, 490, 743, 658
7 372, 371, 245, 743, 329
372, 53, 35, 743, 47

∴ So the LCM of the given numbers is 2 x 7 x 372 x 53 x 35 x 743 x 47 = 337366193640

Least Common Multiple of 744,742,490,743,658 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 744,742,490,743,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,742,490,743,658) = 1

common factors(in case of two or more numbers have common factors) = 392

GCF(744,742,490,743,658) x common factors =1 x 392 = 392

LCM(744,742,490,743,658) = ( 744 × 742 × 490 × 743 × 658 ) / 392

LCM(744,742,490,743,658) = 132247547906880 / 392

LCM(744,742,490,743,658) = 337366193640

∴ Least Common Multiple of 744,742,490,743,658 is 337366193640

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 744, 742, 490, 743, 658

1. What is the LCM of 744, 742, 490, 743, 658?

Answer: LCM of 744, 742, 490, 743, 658 is 337366193640.

2. What are the Factors of 337366193640?

Answer: Factors of 337366193640 are . There are integers that are factors of 337366193640

3. How to Find the LCM of 744, 742, 490, 743, 658 ?

Least Common Multiple of 744, 742, 490, 743, 658.

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(744, 742, 490, 743, 658) = 2 x 2 x 2 x 3 x 5 x 7 x 7 x 31 x 47 x 53 x 743 = 337366193640.