Least Common Multiple of 744, 370, 648, 790, 990

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, 370, 648, 790, 990 i.e. 3229447320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 744, 370, 648, 790, 990 is 3229447320.

LCM(744, 370, 648, 790, 990) = 3229447320

LCM of 744, 370, 648, 790, 990

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

LCM of:

Least Common Multiple of 744,370,648,790,990

Least Common Multiple (LCM) of 744,370,648,790,990 is 3229447320

2 744, 370, 648, 790, 990
2 372, 185, 324, 395, 495
2 186, 185, 162, 395, 495
3 93, 185, 81, 395, 495
3 31, 185, 27, 395, 165
5 31, 185, 9, 395, 55
31, 37, 9, 79, 11

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 5 x 31 x 37 x 9 x 79 x 11 = 3229447320

Least Common Multiple of 744,370,648,790,990 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 744,370,648,790,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,370,648,790,990) = 2

common factors(in case of two or more numbers have common factors) = 21600

GCF(744,370,648,790,990) x common factors =2 x 21600 = 43200

LCM(744,370,648,790,990) = ( 744 × 370 × 648 × 790 × 990 ) / 43200

LCM(744,370,648,790,990) = 139512124224000 / 43200

LCM(744,370,648,790,990) = 3229447320

∴ Least Common Multiple of 744,370,648,790,990 is 3229447320

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 744, 370, 648, 790, 990

1. What is the LCM of 744, 370, 648, 790, 990?

Answer: LCM of 744, 370, 648, 790, 990 is 3229447320.

2. What are the Factors of 3229447320?

Answer: Factors of 3229447320 are . There are integers that are factors of 3229447320

3. How to Find the LCM of 744, 370, 648, 790, 990 ?

Least Common Multiple of 744, 370, 648, 790, 990.

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, 370, 648, 790, 990) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 11 x 31 x 37 x 79 = 3229447320.