Least Common Multiple of 875/31, 618/21, 480/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 875/31, 618/21, 480/584 quickly i.e. 8652000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 875/31, 618/21, 480/584 is 8652000.

LCM(875/31, 618/21, 480/584) = 8652000

LCM of 875/31, 618/21, 480/584

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 875/31,618/21,480/584

Given numbers are 875/31,618/21,480/584

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 875,618,480

Least Common Multiple of Numerators i.e. LCM of 875,618,480 is 8652000.

GCF of Denominators means GCF of 31,21,584 as per the given fractions.

GCF of 31,21,584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 875,618,480

LCM of Fractions 875/31,618/21,480/584 is 8652000

2 875, 618, 480
3 875, 309, 240
5 875, 103, 80
175, 103, 16

∴ So the LCM of the given numbers is 2 x 3 x 5 x 175 x 103 x 16 = 8652000

Least Common Multiple of 875,618,480 with GCF Formula

Least Common Multiple of 875,618,480 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 875,618,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(875,618,480) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(875,618,480) x common factors =1 x 30 = 30

LCM(875,618,480) = ( 875 × 618 × 480 ) / 30

LCM(875,618,480) = 259560000 / 30

LCM(875,618,480) = 8652000


Lets's calculate GCF of 31,21,584

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8652000/1

Therefore the LCM of Fractions 875/31,618/21,480/584 is 8652000

Greatest Common Factor of 31,21,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,21,584 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 31,21,584 . The biggest common factor number is the GCF number.
So the greatest common factor 31,21,584 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 875/31, 618/21, 480/584

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 875/31, 618/21, 480/584?

Answer: LCM of Numerators as per given numbers 875/31, 618/21, 480/584 is

LCM of Numerators i.e. for 875,618,480 is 8652000

GCF of denominators i.e. for 31,21,584 is 1.

Thus, LCM of Fractions is 8652000.Finally, LCM of Fractions for 875/31, 618/21, 480/584 is 8652000.