Least Common Multiple of 84/356, 114/815, 524/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/356, 114/815, 524/788 quickly i.e. 209076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/356, 114/815, 524/788 is 209076.

LCM(84/356, 114/815, 524/788) = 209076

LCM of 84/356, 114/815, 524/788

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 84/356,114/815,524/788

Given numbers are 84/356,114/815,524/788

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 84,114,524

Least Common Multiple of Numerators i.e. LCM of 84,114,524 is 209076.

GCF of Denominators means GCF of 356,815,788 as per the given fractions.

GCF of 356,815,788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,114,524

LCM of Fractions 84/356,114/815,524/788 is 209076

2 84, 114, 524
2 42, 57, 262
3 21, 57, 131
7, 19, 131

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 19 x 131 = 209076

Least Common Multiple of 84,114,524 with GCF Formula

Least Common Multiple of 84,114,524 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 84,114,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,114,524) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(84,114,524) x common factors =2 x 12 = 24

LCM(84,114,524) = ( 84 × 114 × 524 ) / 24

LCM(84,114,524) = 5017824 / 24

LCM(84,114,524) = 209076


Lets's calculate GCF of 356,815,788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209076/1

Therefore the LCM of Fractions 84/356,114/815,524/788 is 209076

Greatest Common Factor of 356,815,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,815,788 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 815

List of positive integer factors of 815 that divides 815 without a remainder.

1,5,163,815

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 356,815,788 . The biggest common factor number is the GCF number.
So the greatest common factor 356,815,788 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 84/356, 114/815, 524/788

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 84/356, 114/815, 524/788?

Answer: LCM of Numerators as per given numbers 84/356, 114/815, 524/788 is

LCM of Numerators i.e. for 84,114,524 is 209076

GCF of denominators i.e. for 356,815,788 is 1.

Thus, LCM of Fractions is 209076.Finally, LCM of Fractions for 84/356, 114/815, 524/788 is 209076.