Least Common Multiple of 42/36, 94/15, 54/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/36, 94/15, 54/501 quickly i.e. 5922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/36, 94/15, 54/501 is 5922.

LCM(42/36, 94/15, 54/501) = 5922

LCM of 42/36, 94/15, 54/501

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 42/36,94/15,54/501

Given numbers are 42/36,94/15,54/501

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 42,94,54

Least Common Multiple of Numerators i.e. LCM of 42,94,54 is 17766.

GCF of Denominators means GCF of 36,15,501 as per the given fractions.

GCF of 36,15,501 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,94,54

LCM of Fractions 42/36,94/15,54/501 is 5922

2 42, 94, 54
3 21, 47, 27
7, 47, 9

∴ So the LCM of the given numbers is 2 x 3 x 7 x 47 x 9 = 17766

Least Common Multiple of 42,94,54 with GCF Formula

Least Common Multiple of 42,94,54 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 42,94,54 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,94,54) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(42,94,54) x common factors =2 x 6 = 12

LCM(42,94,54) = ( 42 × 94 × 54 ) / 12

LCM(42,94,54) = 213192 / 12

LCM(42,94,54) = 17766


Lets's calculate GCF of 36,15,501

3 36, 15, 501
12, 5, 167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17766/3

Therefore the LCM of Fractions 42/36,94/15,54/501 is 5922

Greatest Common Factor of 36,15,501 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,15,501 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Greatest Common Factor

We found the factors 36,15,501 . The biggest common factor number is the GCF number.
So the greatest common factor 36,15,501 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 42/36, 94/15, 54/501

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 42/36, 94/15, 54/501?

Answer: LCM of Numerators as per given numbers 42/36, 94/15, 54/501 is

LCM of Numerators i.e. for 42,94,54 is 17766

GCF of denominators i.e. for 36,15,501 is 3.

Thus, LCM of Fractions is 5922.Finally, LCM of Fractions for 42/36, 94/15, 54/501 is 5922.