Least Common Multiple of 1/42, 4/57, 96/60, 72/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/42, 4/57, 96/60, 72/474 quickly i.e. 96 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/42, 4/57, 96/60, 72/474 is 96.

LCM(1/42, 4/57, 96/60, 72/474) = 96

LCM of 1/42, 4/57, 96/60, 72/474

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 1/42,4/57,96/60,72/474

Given numbers are 1/42,4/57,96/60,72/474

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 1,4,96,72

Least Common Multiple of Numerators i.e. LCM of 1,4,96,72 is 288.

GCF of Denominators means GCF of 42,57,60,474 as per the given fractions.

GCF of 42,57,60,474 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,4,96,72

LCM of Fractions 1/42,4/57,96/60,72/474 is 96

2 1, 4, 96, 72
2 1, 2, 48, 36
2 1, 1, 24, 18
3 1, 1, 12, 9
1, 1, 4, 3

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 1 x 4 x 3 = 288

Least Common Multiple of 1,4,96,72 with GCF Formula

Least Common Multiple of 1,4,96,72 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 1,4,96,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,4,96,72) = 1

common factors(in case of two or more numbers have common factors) = 96

GCF(1,4,96,72) x common factors =1 x 96 = 96

LCM(1,4,96,72) = ( 1 × 4 × 96 × 72 ) / 96

LCM(1,4,96,72) = 27648 / 96

LCM(1,4,96,72) = 288


Lets's calculate GCF of 42,57,60,474

3 42, 57, 60, 474
14, 19, 20, 158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288/3

Therefore the LCM of Fractions 1/42,4/57,96/60,72/474 is 96

Greatest Common Factor of 42,57,60,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,57,60,474 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 57

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

1,3,19,57

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 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 42,57,60,474 . The biggest common factor number is the GCF number.
So the greatest common factor 42,57,60,474 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 1/42, 4/57, 96/60, 72/474

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 1/42, 4/57, 96/60, 72/474?

Answer: LCM of Numerators as per given numbers 1/42, 4/57, 96/60, 72/474 is

LCM of Numerators i.e. for 1,4,96,72 is 288

GCF of denominators i.e. for 42,57,60,474 is 3.

Thus, LCM of Fractions is 96.Finally, LCM of Fractions for 1/42, 4/57, 96/60, 72/474 is 96.