Least Common Multiple of 36/74, 30/12, 32/18, 72/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/74, 30/12, 32/18, 72/252 quickly i.e. 720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/74, 30/12, 32/18, 72/252 is 720.

LCM(36/74, 30/12, 32/18, 72/252) = 720

LCM of 36/74, 30/12, 32/18, 72/252

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 36/74,30/12,32/18,72/252

Given numbers are 36/74,30/12,32/18,72/252

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 36,30,32,72

Least Common Multiple of Numerators i.e. LCM of 36,30,32,72 is 1440.

GCF of Denominators means GCF of 74,12,18,252 as per the given fractions.

GCF of 74,12,18,252 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,30,32,72

LCM of Fractions 36/74,30/12,32/18,72/252 is 720

2 36, 30, 32, 72
2 18, 15, 16, 36
2 9, 15, 8, 18
3 9, 15, 4, 9
3 3, 5, 4, 3
1, 5, 4, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 5 x 4 x 1 = 1440

Least Common Multiple of 36,30,32,72 with GCF Formula

Least Common Multiple of 36,30,32,72 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 36,30,32,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,30,32,72) = 2

common factors(in case of two or more numbers have common factors) = 864

GCF(36,30,32,72) x common factors =2 x 864 = 1728

LCM(36,30,32,72) = ( 36 × 30 × 32 × 72 ) / 1728

LCM(36,30,32,72) = 2488320 / 1728

LCM(36,30,32,72) = 1440


Lets's calculate GCF of 74,12,18,252

2 74, 12, 18, 252
37, 6, 9, 126

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1440/2

Therefore the LCM of Fractions 36/74,30/12,32/18,72/252 is 720

Greatest Common Factor of 74,12,18,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,12,18,252 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

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 74,12,18,252 . The biggest common factor number is the GCF number.
So the greatest common factor 74,12,18,252 is 2.


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 36/74, 30/12, 32/18, 72/252

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 36/74, 30/12, 32/18, 72/252?

Answer: LCM of Numerators as per given numbers 36/74, 30/12, 32/18, 72/252 is

LCM of Numerators i.e. for 36,30,32,72 is 1440

GCF of denominators i.e. for 74,12,18,252 is 2.

Thus, LCM of Fractions is 720.Finally, LCM of Fractions for 36/74, 30/12, 32/18, 72/252 is 720.