Least Common Multiple of 400/895, 610/728, 596/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 400/895, 610/728, 596/118 quickly i.e. 3635600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 400/895, 610/728, 596/118 is 3635600.

LCM(400/895, 610/728, 596/118) = 3635600

LCM of 400/895, 610/728, 596/118

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 400/895,610/728,596/118

Given numbers are 400/895,610/728,596/118

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 400,610,596

Least Common Multiple of Numerators i.e. LCM of 400,610,596 is 3635600.

GCF of Denominators means GCF of 895,728,118 as per the given fractions.

GCF of 895,728,118 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 400,610,596

LCM of Fractions 400/895,610/728,596/118 is 3635600

2 400, 610, 596
2 200, 305, 298
5 100, 305, 149
20, 61, 149

∴ So the LCM of the given numbers is 2 x 2 x 5 x 20 x 61 x 149 = 3635600

Least Common Multiple of 400,610,596 with GCF Formula

Least Common Multiple of 400,610,596 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 400,610,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,610,596) = 2

common factors(in case of two or more numbers have common factors) = 20

GCF(400,610,596) x common factors =2 x 20 = 40

LCM(400,610,596) = ( 400 × 610 × 596 ) / 40

LCM(400,610,596) = 145424000 / 40

LCM(400,610,596) = 3635600


Lets's calculate GCF of 895,728,118

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3635600/1

Therefore the LCM of Fractions 400/895,610/728,596/118 is 3635600

Greatest Common Factor of 895,728,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 895,728,118 By Matching Biggest Common Factor Method

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 895,728,118 . The biggest common factor number is the GCF number.
So the greatest common factor 895,728,118 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 400/895, 610/728, 596/118

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 400/895, 610/728, 596/118?

Answer: LCM of Numerators as per given numbers 400/895, 610/728, 596/118 is

LCM of Numerators i.e. for 400,610,596 is 3635600

GCF of denominators i.e. for 895,728,118 is 1.

Thus, LCM of Fractions is 3635600.Finally, LCM of Fractions for 400/895, 610/728, 596/118 is 3635600.