Least Common Multiple of 706, 748, 792, 320, 678

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 706, 748, 792, 320, 678 i.e. 21482619840 smallest integer divisible by all numbers.

Least common multiple (LCM) of 706, 748, 792, 320, 678 is 21482619840.

LCM(706, 748, 792, 320, 678) = 21482619840

LCM of 706, 748, 792, 320, 678

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

LCM of:

Least Common Multiple of 706,748,792,320,678

Least Common Multiple (LCM) of 706,748,792,320,678 is 21482619840

2 706, 748, 792, 320, 678
2 353, 374, 396, 160, 339
2 353, 187, 198, 80, 339
3 353, 187, 99, 40, 339
11 353, 187, 33, 40, 113
353, 17, 3, 40, 113

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 11 x 353 x 17 x 3 x 40 x 113 = 21482619840

Least Common Multiple of 706,748,792,320,678 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 706,748,792,320,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(706,748,792,320,678) = 2

common factors(in case of two or more numbers have common factors) = 2112

GCF(706,748,792,320,678) x common factors =2 x 2112 = 4224

LCM(706,748,792,320,678) = ( 706 × 748 × 792 × 320 × 678 ) / 4224

LCM(706,748,792,320,678) = 90742586204160 / 4224

LCM(706,748,792,320,678) = 21482619840

∴ Least Common Multiple of 706,748,792,320,678 is 21482619840

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 706, 748, 792, 320, 678

1. What is the LCM of 706, 748, 792, 320, 678?

Answer: LCM of 706, 748, 792, 320, 678 is 21482619840.

2. What are the Factors of 21482619840?

Answer: Factors of 21482619840 are . There are integers that are factors of 21482619840

3. How to Find the LCM of 706, 748, 792, 320, 678 ?

Least Common Multiple of 706, 748, 792, 320, 678.

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(706, 748, 792, 320, 678) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 17 x 113 x 353 = 21482619840.