Least Common Multiple of 57/65, 86/48, 638/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/65, 86/48, 638/252 quickly i.e. 1563738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/65, 86/48, 638/252 is 1563738.

LCM(57/65, 86/48, 638/252) = 1563738

LCM of 57/65, 86/48, 638/252

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 57/65,86/48,638/252

Given numbers are 57/65,86/48,638/252

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 57,86,638

Least Common Multiple of Numerators i.e. LCM of 57,86,638 is 1563738.

GCF of Denominators means GCF of 65,48,252 as per the given fractions.

GCF of 65,48,252 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,86,638

LCM of Fractions 57/65,86/48,638/252 is 1563738

2 57, 86, 638
57, 43, 319

∴ So the LCM of the given numbers is 2 x 57 x 43 x 319 = 1563738

Least Common Multiple of 57,86,638 with GCF Formula

Least Common Multiple of 57,86,638 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 57,86,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,86,638) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(57,86,638) x common factors =1 x 2 = 2

LCM(57,86,638) = ( 57 × 86 × 638 ) / 2

LCM(57,86,638) = 3127476 / 2

LCM(57,86,638) = 1563738


Lets's calculate GCF of 65,48,252

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1563738/1

Therefore the LCM of Fractions 57/65,86/48,638/252 is 1563738

Greatest Common Factor of 65,48,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,48,252 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 65,48,252 . The biggest common factor number is the GCF number.
So the greatest common factor 65,48,252 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 57/65, 86/48, 638/252

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 57/65, 86/48, 638/252?

Answer: LCM of Numerators as per given numbers 57/65, 86/48, 638/252 is

LCM of Numerators i.e. for 57,86,638 is 1563738

GCF of denominators i.e. for 65,48,252 is 1.

Thus, LCM of Fractions is 1563738.Finally, LCM of Fractions for 57/65, 86/48, 638/252 is 1563738.