Least Common Multiple of 457/53, 908/60, 384/131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 457/53, 908/60, 384/131 quickly i.e. 39835776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 457/53, 908/60, 384/131 is 39835776.

LCM(457/53, 908/60, 384/131) = 39835776

LCM of 457/53, 908/60, 384/131

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 457/53,908/60,384/131

Given numbers are 457/53,908/60,384/131

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 457,908,384

Least Common Multiple of Numerators i.e. LCM of 457,908,384 is 39835776.

GCF of Denominators means GCF of 53,60,131 as per the given fractions.

GCF of 53,60,131 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 457,908,384

LCM of Fractions 457/53,908/60,384/131 is 39835776

2 457, 908, 384
2 457, 454, 192
457, 227, 96

∴ So the LCM of the given numbers is 2 x 2 x 457 x 227 x 96 = 39835776

Least Common Multiple of 457,908,384 with GCF Formula

Least Common Multiple of 457,908,384 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 457,908,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,908,384) = 1

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

GCF(457,908,384) x common factors =1 x 4 = 4

LCM(457,908,384) = ( 457 × 908 × 384 ) / 4

LCM(457,908,384) = 159343104 / 4

LCM(457,908,384) = 39835776


Lets's calculate GCF of 53,60,131

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39835776/1

Therefore the LCM of Fractions 457/53,908/60,384/131 is 39835776

Greatest Common Factor of 53,60,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,60,131 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 53,60,131 . The biggest common factor number is the GCF number.
So the greatest common factor 53,60,131 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 457/53, 908/60, 384/131

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 457/53, 908/60, 384/131?

Answer: LCM of Numerators as per given numbers 457/53, 908/60, 384/131 is

LCM of Numerators i.e. for 457,908,384 is 39835776

GCF of denominators i.e. for 53,60,131 is 1.

Thus, LCM of Fractions is 39835776.Finally, LCM of Fractions for 457/53, 908/60, 384/131 is 39835776.