Least Common Multiple of 510, 714, 790, 160

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 510, 714, 790, 160 i.e. 4512480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 510, 714, 790, 160 is 4512480.

LCM(510, 714, 790, 160) = 4512480

LCM of 510, 714, 790, 160

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

LCM of:

Least Common Multiple of 510,714,790,160

Least Common Multiple (LCM) of 510,714,790,160 is 4512480

2 510, 714, 790, 160
3 255, 357, 395, 80
5 85, 119, 395, 80
17 17, 119, 79, 16
1, 7, 79, 16

∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 1 x 7 x 79 x 16 = 4512480

Least Common Multiple of 510,714,790,160 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 510,714,790,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,714,790,160) = 2

common factors(in case of two or more numbers have common factors) = 5100

GCF(510,714,790,160) x common factors =2 x 5100 = 10200

LCM(510,714,790,160) = ( 510 × 714 × 790 × 160 ) / 10200

LCM(510,714,790,160) = 46027296000 / 10200

LCM(510,714,790,160) = 4512480

∴ Least Common Multiple of 510,714,790,160 is 4512480

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 510, 714, 790, 160

1. What is the LCM of 510, 714, 790, 160?

Answer: LCM of 510, 714, 790, 160 is 4512480.

2. What are the Factors of 4512480?

Answer: Factors of 4512480 are . There are integers that are factors of 4512480

3. How to Find the LCM of 510, 714, 790, 160 ?

Least Common Multiple of 510, 714, 790, 160.

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(510, 714, 790, 160) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17 x 79 = 4512480.