Least Common Multiple of 27/636, 92/428, 567/958

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/636, 92/428, 567/958 quickly i.e. 26082 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/636, 92/428, 567/958 is 26082.

LCM(27/636, 92/428, 567/958) = 26082

LCM of 27/636, 92/428, 567/958

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 27/636,92/428,567/958

Given numbers are 27/636,92/428,567/958

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 27,92,567

Least Common Multiple of Numerators i.e. LCM of 27,92,567 is 52164.

GCF of Denominators means GCF of 636,428,958 as per the given fractions.

GCF of 636,428,958 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,92,567

LCM of Fractions 27/636,92/428,567/958 is 26082

3 27, 92, 567
3 9, 92, 189
3 3, 92, 63
1, 92, 21

∴ So the LCM of the given numbers is 3 x 3 x 3 x 1 x 92 x 21 = 52164

Least Common Multiple of 27,92,567 with GCF Formula

Least Common Multiple of 27,92,567 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 27,92,567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,92,567) = 1

common factors(in case of two or more numbers have common factors) = 27

GCF(27,92,567) x common factors =1 x 27 = 27

LCM(27,92,567) = ( 27 × 92 × 567 ) / 27

LCM(27,92,567) = 1408428 / 27

LCM(27,92,567) = 52164


Lets's calculate GCF of 636,428,958

2 636, 428, 958
318, 214, 479

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52164/2

Therefore the LCM of Fractions 27/636,92/428,567/958 is 26082

Greatest Common Factor of 636,428,958 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,428,958 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Greatest Common Factor

We found the factors 636,428,958 . The biggest common factor number is the GCF number.
So the greatest common factor 636,428,958 is 2.


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 27/636, 92/428, 567/958

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 27/636, 92/428, 567/958?

Answer: LCM of Numerators as per given numbers 27/636, 92/428, 567/958 is

LCM of Numerators i.e. for 27,92,567 is 52164

GCF of denominators i.e. for 636,428,958 is 2.

Thus, LCM of Fractions is 26082.Finally, LCM of Fractions for 27/636, 92/428, 567/958 is 26082.