Least Common Multiple of 57/92, 48/13, 44/35, 96/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/92, 48/13, 44/35, 96/618 quickly i.e. 20064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/92, 48/13, 44/35, 96/618 is 20064.

LCM(57/92, 48/13, 44/35, 96/618) = 20064

LCM of 57/92, 48/13, 44/35, 96/618

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 57/92,48/13,44/35,96/618

Given numbers are 57/92,48/13,44/35,96/618

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 57,48,44,96

Least Common Multiple of Numerators i.e. LCM of 57,48,44,96 is 20064.

GCF of Denominators means GCF of 92,13,35,618 as per the given fractions.

GCF of 92,13,35,618 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,48,44,96

LCM of Fractions 57/92,48/13,44/35,96/618 is 20064

2 57, 48, 44, 96
2 57, 24, 22, 48
2 57, 12, 11, 24
2 57, 6, 11, 12
3 57, 3, 11, 6
19, 1, 11, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 19 x 1 x 11 x 2 = 20064

Least Common Multiple of 57,48,44,96 with GCF Formula

Least Common Multiple of 57,48,44,96 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 57,48,44,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,48,44,96) = 1

common factors(in case of two or more numbers have common factors) = 576

GCF(57,48,44,96) x common factors =1 x 576 = 576

LCM(57,48,44,96) = ( 57 × 48 × 44 × 96 ) / 576

LCM(57,48,44,96) = 11556864 / 576

LCM(57,48,44,96) = 20064


Lets's calculate GCF of 92,13,35,618

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20064/1

Therefore the LCM of Fractions 57/92,48/13,44/35,96/618 is 20064

Greatest Common Factor of 92,13,35,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,13,35,618 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

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 92,13,35,618 . The biggest common factor number is the GCF number.
So the greatest common factor 92,13,35,618 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 57/92, 48/13, 44/35, 96/618

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 57/92, 48/13, 44/35, 96/618?

Answer: LCM of Numerators as per given numbers 57/92, 48/13, 44/35, 96/618 is

LCM of Numerators i.e. for 57,48,44,96 is 20064

GCF of denominators i.e. for 92,13,35,618 is 1.

Thus, LCM of Fractions is 20064.Finally, LCM of Fractions for 57/92, 48/13, 44/35, 96/618 is 20064.