Least Common Multiple of 90/12, 66/30, 60/24, 72/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 90/12, 66/30, 60/24, 72/952 quickly i.e. 1980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 90/12, 66/30, 60/24, 72/952 is 1980.

LCM(90/12, 66/30, 60/24, 72/952) = 1980

LCM of 90/12, 66/30, 60/24, 72/952

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 90/12,66/30,60/24,72/952

Given numbers are 90/12,66/30,60/24,72/952

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 90,66,60,72

Least Common Multiple of Numerators i.e. LCM of 90,66,60,72 is 3960.

GCF of Denominators means GCF of 12,30,24,952 as per the given fractions.

GCF of 12,30,24,952 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 90,66,60,72

LCM of Fractions 90/12,66/30,60/24,72/952 is 1980

2 90, 66, 60, 72
2 45, 33, 30, 36
3 45, 33, 15, 18
3 5, 11, 15, 6
5 5, 11, 5, 2
1, 11, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 11 x 1 x 2 = 3960

Least Common Multiple of 90,66,60,72 with GCF Formula

Least Common Multiple of 90,66,60,72 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 90,66,60,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,66,60,72) = 6

common factors(in case of two or more numbers have common factors) = 1080

GCF(90,66,60,72) x common factors =6 x 1080 = 6480

LCM(90,66,60,72) = ( 90 × 66 × 60 × 72 ) / 6480

LCM(90,66,60,72) = 25660800 / 6480

LCM(90,66,60,72) = 3960


Lets's calculate GCF of 12,30,24,952

2 12, 30, 24, 952
6, 15, 12, 476

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3960/2

Therefore the LCM of Fractions 90/12,66/30,60/24,72/952 is 1980

Greatest Common Factor of 12,30,24,952 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,30,24,952 By Matching Biggest Common Factor Method

Factors of 12

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

1,2,3,4,6,12

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

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

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Greatest Common Factor

We found the factors 12,30,24,952 . The biggest common factor number is the GCF number.
So the greatest common factor 12,30,24,952 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 90/12, 66/30, 60/24, 72/952

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 90/12, 66/30, 60/24, 72/952?

Answer: LCM of Numerators as per given numbers 90/12, 66/30, 60/24, 72/952 is

LCM of Numerators i.e. for 90,66,60,72 is 3960

GCF of denominators i.e. for 12,30,24,952 is 2.

Thus, LCM of Fractions is 1980.Finally, LCM of Fractions for 90/12, 66/30, 60/24, 72/952 is 1980.