Least Common Multiple of 52/51, 66/138, 676/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/51, 66/138, 676/144 quickly i.e. 7436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/51, 66/138, 676/144 is 7436.

LCM(52/51, 66/138, 676/144) = 7436

LCM of 52/51, 66/138, 676/144

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 52/51,66/138,676/144

Given numbers are 52/51,66/138,676/144

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 52,66,676

Least Common Multiple of Numerators i.e. LCM of 52,66,676 is 22308.

GCF of Denominators means GCF of 51,138,144 as per the given fractions.

GCF of 51,138,144 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,66,676

LCM of Fractions 52/51,66/138,676/144 is 7436

2 52, 66, 676
2 26, 33, 338
13 13, 33, 169
1, 33, 13

∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 33 x 13 = 22308

Least Common Multiple of 52,66,676 with GCF Formula

Least Common Multiple of 52,66,676 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 52,66,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,66,676) = 2

common factors(in case of two or more numbers have common factors) = 52

GCF(52,66,676) x common factors =2 x 52 = 104

LCM(52,66,676) = ( 52 × 66 × 676 ) / 104

LCM(52,66,676) = 2320032 / 104

LCM(52,66,676) = 22308


Lets's calculate GCF of 51,138,144

3 51, 138, 144
17, 46, 48

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22308/3

Therefore the LCM of Fractions 52/51,66/138,676/144 is 7436

Greatest Common Factor of 51,138,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,138,144 By Matching Biggest Common Factor Method

Factors of 51

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

1,3,17,51

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 51,138,144 . The biggest common factor number is the GCF number.
So the greatest common factor 51,138,144 is 3.


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 52/51, 66/138, 676/144

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 52/51, 66/138, 676/144?

Answer: LCM of Numerators as per given numbers 52/51, 66/138, 676/144 is

LCM of Numerators i.e. for 52,66,676 is 22308

GCF of denominators i.e. for 51,138,144 is 3.

Thus, LCM of Fractions is 7436.Finally, LCM of Fractions for 52/51, 66/138, 676/144 is 7436.