Least Common Multiple of 52/51, 63/57, 38/80, 72/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/51, 63/57, 38/80, 72/618 quickly i.e. 124488 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, 63/57, 38/80, 72/618 is 124488.

LCM(52/51, 63/57, 38/80, 72/618) = 124488

LCM of 52/51, 63/57, 38/80, 72/618

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 52/51,63/57,38/80,72/618

Given numbers are 52/51,63/57,38/80,72/618

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 52,63,38,72

Least Common Multiple of Numerators i.e. LCM of 52,63,38,72 is 124488.

GCF of Denominators means GCF of 51,57,80,618 as per the given fractions.

GCF of 51,57,80,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,63,38,72

LCM of Fractions 52/51,63/57,38/80,72/618 is 124488

2 52, 63, 38, 72
2 26, 63, 19, 36
3 13, 63, 19, 18
3 13, 21, 19, 6
13, 7, 19, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 13 x 7 x 19 x 2 = 124488

Least Common Multiple of 52,63,38,72 with GCF Formula

Least Common Multiple of 52,63,38,72 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 52,63,38,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,63,38,72) = 1

common factors(in case of two or more numbers have common factors) = 72

GCF(52,63,38,72) x common factors =1 x 72 = 72

LCM(52,63,38,72) = ( 52 × 63 × 38 × 72 ) / 72

LCM(52,63,38,72) = 8963136 / 72

LCM(52,63,38,72) = 124488


Lets's calculate GCF of 51,57,80,618

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124488/1

Therefore the LCM of Fractions 52/51,63/57,38/80,72/618 is 124488

Greatest Common Factor of 51,57,80,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,57,80,618 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 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors 51,57,80,618 . The biggest common factor number is the GCF number.
So the greatest common factor 51,57,80,618 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 52/51, 63/57, 38/80, 72/618

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, 63/57, 38/80, 72/618?

Answer: LCM of Numerators as per given numbers 52/51, 63/57, 38/80, 72/618 is

LCM of Numerators i.e. for 52,63,38,72 is 124488

GCF of denominators i.e. for 51,57,80,618 is 1.

Thus, LCM of Fractions is 124488.Finally, LCM of Fractions for 52/51, 63/57, 38/80, 72/618 is 124488.