Least Common Multiple of 864, 489, 864, 492, 814

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 864, 489, 864, 492, 814 i.e. 2350063584 smallest integer divisible by all numbers.

Least common multiple (LCM) of 864, 489, 864, 492, 814 is 2350063584.

LCM(864, 489, 864, 492, 814) = 2350063584

LCM of 864, 489, 864, 492, 814

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

LCM of:

Least Common Multiple of 864,489,864,492,814

Least Common Multiple (LCM) of 864,489,864,492,814 is 2350063584

2 864, 489, 864, 492, 814
2 432, 489, 432, 246, 407
2 216, 489, 216, 123, 407
2 108, 489, 108, 123, 407
2 54, 489, 54, 123, 407
3 27, 489, 27, 123, 407
3 9, 163, 9, 41, 407
3 3, 163, 3, 41, 407
1, 163, 1, 41, 407

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 1 x 163 x 1 x 41 x 407 = 2350063584

Least Common Multiple of 864,489,864,492,814 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 864,489,864,492,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,489,864,492,814) = 1

common factors(in case of two or more numbers have common factors) = 62208

GCF(864,489,864,492,814) x common factors =1 x 62208 = 62208

LCM(864,489,864,492,814) = ( 864 × 489 × 864 × 492 × 814 ) / 62208

LCM(864,489,864,492,814) = 146192755433472 / 62208

LCM(864,489,864,492,814) = 2350063584

∴ Least Common Multiple of 864,489,864,492,814 is 2350063584

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 864, 489, 864, 492, 814

1. What is the LCM of 864, 489, 864, 492, 814?

Answer: LCM of 864, 489, 864, 492, 814 is 2350063584.

2. What are the Factors of 2350063584?

Answer: Factors of 2350063584 are . There are integers that are factors of 2350063584

3. How to Find the LCM of 864, 489, 864, 492, 814 ?

Least Common Multiple of 864, 489, 864, 492, 814.

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(864, 489, 864, 492, 814) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 37 x 41 x 163 = 2350063584.