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Least Common Multiple of 72/36, 180/45, 252/60

Know Least Common Multiple of fractions 72/36, 180/45, 252/60 quickly i.e. 840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/36, 180/45, 252/60 is 840.

LCM(72/36, 180/45, 252/60) = 840

LCM of 72/36, 180/45, 252/60

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 72/36,180/45,252/60

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 72,180,252

Least Common Multiple of Numerators i.e. LCM of 72,180,252 is 2520.

GCF of Denominators means GCF of 36,45,60 as per the given fractions.

GCF of 36,45,60 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,180,252

Least Common Multiple (LCM) of 72,180,252 By Common Division

2 72, 180, 252
2 36, 90, 126
3 18, 45, 63
3 6, 15, 21
2, 5, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 2 x 5 x 7 = 2520

Least Common Multiple of 72,180,252 with GCF Formula

Least Common Multiple of 72,180,252 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 72,180,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,180,252) = 36

common factors(in case of two or more numbers have common factors) = 36

GCF(72,180,252) x common factors =36 x 36 = 1296

LCM(72,180,252) = ( 72 × 180 × 252 ) / 1296

LCM(72,180,252) = 3265920 / 1296

LCM(72,180,252) = 2520


Lets's calculate GCF of 36,45,60

Greatest Common Factor (GCF) of 36,45,60 By Common Division

3 36, 45, 60
12, 15, 20

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2520/3

Therefore the LCM of Fractions 72/36,180/45,252/60 is 840

Greatest Common Factor of 36,45,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,45,60 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 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

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

Greatest Common Factor

We found the factors 36,45,60 . The biggest common factor number is the GCF number.
So the greatest common factor 36,45,60 is 3.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 72/36, 180/45, 252/60

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 72/36, 180/45, 252/60?

Answer: LCM of Numerators as per given numbers 72/36, 180/45, 252/60 is

LCM of Numerators i.e. for 72,180,252 is 2520

GCF of denominators i.e. for 36,45,60 is 3.

Thus, LCM of Fractions is 840.Finally, LCM of Fractions for 72/36, 180/45, 252/60 is 840.