Least Common Multiple of 518/365, 956/285, 154/555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 518/365, 956/285, 154/555 quickly i.e. 2723644/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 518/365, 956/285, 154/555 is 2723644/5.

LCM(518/365, 956/285, 154/555) = 2723644/5

LCM of 518/365, 956/285, 154/555

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 518/365,956/285,154/555

Given numbers are 518/365,956/285,154/555

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 518,956,154

Least Common Multiple of Numerators i.e. LCM of 518,956,154 is 2723644.

GCF of Denominators means GCF of 365,285,555 as per the given fractions.

GCF of 365,285,555 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 518,956,154

LCM of Fractions 518/365,956/285,154/555 is 2723644/5

2 518, 956, 154
7 259, 478, 77
37, 478, 11

∴ So the LCM of the given numbers is 2 x 7 x 37 x 478 x 11 = 2723644

Least Common Multiple of 518,956,154 with GCF Formula

Least Common Multiple of 518,956,154 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 518,956,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(518,956,154) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(518,956,154) x common factors =2 x 14 = 28

LCM(518,956,154) = ( 518 × 956 × 154 ) / 28

LCM(518,956,154) = 76262032 / 28

LCM(518,956,154) = 2723644


Lets's calculate GCF of 365,285,555

5 365, 285, 555
73, 57, 111

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2723644/5

Therefore the LCM of Fractions 518/365,956/285,154/555 is 2723644/5

Greatest Common Factor of 365,285,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,285,555 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 365,285,555 . The biggest common factor number is the GCF number.
So the greatest common factor 365,285,555 is 5.


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 518/365, 956/285, 154/555

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 518/365, 956/285, 154/555?

Answer: LCM of Numerators as per given numbers 518/365, 956/285, 154/555 is

LCM of Numerators i.e. for 518,956,154 is 2723644

GCF of denominators i.e. for 365,285,555 is 5.

Thus, LCM of Fractions is 2723644/5.Finally, LCM of Fractions for 518/365, 956/285, 154/555 is 2723644/5.