Least Common Multiple of 52/76, 157/51, 664/665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 52/76, 157/51, 664/665 quickly i.e. 1355224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/76, 157/51, 664/665 is 1355224.

LCM(52/76, 157/51, 664/665) = 1355224

LCM of 52/76, 157/51, 664/665

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 52/76,157/51,664/665

Given numbers are 52/76,157/51,664/665

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 52,157,664

Least Common Multiple of Numerators i.e. LCM of 52,157,664 is 1355224.

GCF of Denominators means GCF of 76,51,665 as per the given fractions.

GCF of 76,51,665 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,157,664

LCM of Fractions 52/76,157/51,664/665 is 1355224

2 52, 157, 664
2 26, 157, 332
13, 157, 166

∴ So the LCM of the given numbers is 2 x 2 x 13 x 157 x 166 = 1355224

Least Common Multiple of 52,157,664 with GCF Formula

Least Common Multiple of 52,157,664 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 52,157,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,157,664) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(52,157,664) x common factors =1 x 4 = 4

LCM(52,157,664) = ( 52 × 157 × 664 ) / 4

LCM(52,157,664) = 5420896 / 4

LCM(52,157,664) = 1355224


Lets's calculate GCF of 76,51,665

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1355224/1

Therefore the LCM of Fractions 52/76,157/51,664/665 is 1355224

Greatest Common Factor of 76,51,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,51,665 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 76,51,665 . The biggest common factor number is the GCF number.
So the greatest common factor 76,51,665 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 52/76, 157/51, 664/665

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 52/76, 157/51, 664/665?

Answer: LCM of Numerators as per given numbers 52/76, 157/51, 664/665 is

LCM of Numerators i.e. for 52,157,664 is 1355224

GCF of denominators i.e. for 76,51,665 is 1.

Thus, LCM of Fractions is 1355224.Finally, LCM of Fractions for 52/76, 157/51, 664/665 is 1355224.