Least Common Multiple of 312/752, 884/118, 642/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 312/752, 884/118, 642/226 quickly i.e. 283764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 312/752, 884/118, 642/226 is 283764.

LCM(312/752, 884/118, 642/226) = 283764

LCM of 312/752, 884/118, 642/226

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 312/752,884/118,642/226

Given numbers are 312/752,884/118,642/226

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 312,884,642

Least Common Multiple of Numerators i.e. LCM of 312,884,642 is 567528.

GCF of Denominators means GCF of 752,118,226 as per the given fractions.

GCF of 752,118,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 312,884,642

LCM of Fractions 312/752,884/118,642/226 is 283764

2 312, 884, 642
2 156, 442, 321
3 78, 221, 321
13 26, 221, 107
2, 17, 107

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 2 x 17 x 107 = 567528

Least Common Multiple of 312,884,642 with GCF Formula

Least Common Multiple of 312,884,642 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 312,884,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(312,884,642) = 2

common factors(in case of two or more numbers have common factors) = 156

GCF(312,884,642) x common factors =2 x 156 = 312

LCM(312,884,642) = ( 312 × 884 × 642 ) / 312

LCM(312,884,642) = 177068736 / 312

LCM(312,884,642) = 567528


Lets's calculate GCF of 752,118,226

2 752, 118, 226
376, 59, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 567528/2

Therefore the LCM of Fractions 312/752,884/118,642/226 is 283764

Greatest Common Factor of 752,118,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,118,226 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 118

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

1,2,59,118

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 752,118,226 . The biggest common factor number is the GCF number.
So the greatest common factor 752,118,226 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 312/752, 884/118, 642/226

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 312/752, 884/118, 642/226?

Answer: LCM of Numerators as per given numbers 312/752, 884/118, 642/226 is

LCM of Numerators i.e. for 312,884,642 is 567528

GCF of denominators i.e. for 752,118,226 is 2.

Thus, LCM of Fractions is 283764.Finally, LCM of Fractions for 312/752, 884/118, 642/226 is 283764.