Least Common Multiple of 320, 318, 707, 810, 864

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 320, 318, 707, 810, 864 i.e. 971248320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 320, 318, 707, 810, 864 is 971248320.

LCM(320, 318, 707, 810, 864) = 971248320

LCM of 320, 318, 707, 810, 864

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

LCM of:

Least Common Multiple of 320,318,707,810,864

Least Common Multiple (LCM) of 320,318,707,810,864 is 971248320

2 320, 318, 707, 810, 864
2 160, 159, 707, 405, 432
2 80, 159, 707, 405, 216
2 40, 159, 707, 405, 108
2 20, 159, 707, 405, 54
3 10, 159, 707, 405, 27
3 10, 53, 707, 135, 9
3 10, 53, 707, 45, 3
5 10, 53, 707, 15, 1
2, 53, 707, 3, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 2 x 53 x 707 x 3 x 1 = 971248320

Least Common Multiple of 320,318,707,810,864 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 320,318,707,810,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,318,707,810,864) = 1

common factors(in case of two or more numbers have common factors) = 51840

GCF(320,318,707,810,864) x common factors =1 x 51840 = 51840

LCM(320,318,707,810,864) = ( 320 × 318 × 707 × 810 × 864 ) / 51840

LCM(320,318,707,810,864) = 50349512908800 / 51840

LCM(320,318,707,810,864) = 971248320

∴ Least Common Multiple of 320,318,707,810,864 is 971248320

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 320, 318, 707, 810, 864

1. What is the LCM of 320, 318, 707, 810, 864?

Answer: LCM of 320, 318, 707, 810, 864 is 971248320.

2. What are the Factors of 971248320?

Answer: Factors of 971248320 are . There are integers that are factors of 971248320

3. How to Find the LCM of 320, 318, 707, 810, 864 ?

Least Common Multiple of 320, 318, 707, 810, 864.

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(320, 318, 707, 810, 864) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 53 x 101 = 971248320.