Least Common Multiple of 275, 175, 688, 716, 480

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 275, 175, 688, 716, 480 i.e. 1422405600 smallest integer divisible by all numbers.

Least common multiple (LCM) of 275, 175, 688, 716, 480 is 1422405600.

LCM(275, 175, 688, 716, 480) = 1422405600

LCM of 275, 175, 688, 716, 480

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

LCM of:

Least Common Multiple of 275,175,688,716,480

Least Common Multiple (LCM) of 275,175,688,716,480 is 1422405600

2 275, 175, 688, 716, 480
2 275, 175, 344, 358, 240
2 275, 175, 172, 179, 120
2 275, 175, 86, 179, 60
5 275, 175, 43, 179, 30
5 55, 35, 43, 179, 6
11, 7, 43, 179, 6

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 5 x 11 x 7 x 43 x 179 x 6 = 1422405600

Least Common Multiple of 275,175,688,716,480 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 275,175,688,716,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,175,688,716,480) = 1

common factors(in case of two or more numbers have common factors) = 8000

GCF(275,175,688,716,480) x common factors =1 x 8000 = 8000

LCM(275,175,688,716,480) = ( 275 × 175 × 688 × 716 × 480 ) / 8000

LCM(275,175,688,716,480) = 11379244800000 / 8000

LCM(275,175,688,716,480) = 1422405600

∴ Least Common Multiple of 275,175,688,716,480 is 1422405600

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 275, 175, 688, 716, 480

1. What is the LCM of 275, 175, 688, 716, 480?

Answer: LCM of 275, 175, 688, 716, 480 is 1422405600.

2. What are the Factors of 1422405600?

Answer: Factors of 1422405600 are . There are integers that are factors of 1422405600

3. How to Find the LCM of 275, 175, 688, 716, 480 ?

Least Common Multiple of 275, 175, 688, 716, 480.

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(275, 175, 688, 716, 480) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 7 x 11 x 43 x 179 = 1422405600.