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Least Common Multiple of 36/9, 45/12, 60/21

Know Least Common Multiple of fractions 36/9, 45/12, 60/21 quickly i.e. 60 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/9, 45/12, 60/21 is 60.

LCM(36/9, 45/12, 60/21) = 60

LCM of 36/9, 45/12, 60/21

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 36/9,45/12,60/21

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 36,45,60

Least Common Multiple of Numerators i.e. LCM of 36,45,60 is 180.

GCF of Denominators means GCF of 9,12,21 as per the given fractions.

GCF of 9,12,21 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,45,60

Least Common Multiple (LCM) of 36,45,60 By Common Division

2 36, 45, 60
2 18, 45, 30
3 9, 45, 15
3 3, 5, 15
5 1, 5, 5
1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 1 x 1 = 180

Least Common Multiple of 36,45,60 with GCF Formula

Least Common Multiple of 36,45,60 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 36,45,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,45,60) = 3

common factors(in case of two or more numbers have common factors) = 180

GCF(36,45,60) x common factors =3 x 180 = 540

LCM(36,45,60) = ( 36 × 45 × 60 ) / 540

LCM(36,45,60) = 97200 / 540

LCM(36,45,60) = 180


Lets's calculate GCF of 9,12,21

Greatest Common Factor (GCF) of 9,12,21 By Common Division

3 9, 12, 21
3, 4, 7

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180/3

Therefore the LCM of Fractions 36/9,45/12,60/21 is 60

Greatest Common Factor of 9,12,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,12,21 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 12

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

1,2,3,4,6,12

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Greatest Common Factor

We found the factors 9,12,21 . The biggest common factor number is the GCF number.
So the greatest common factor 9,12,21 is 3.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 36/9, 45/12, 60/21

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 36/9, 45/12, 60/21?

Answer: LCM of Numerators as per given numbers 36/9, 45/12, 60/21 is

LCM of Numerators i.e. for 36,45,60 is 180

GCF of denominators i.e. for 9,12,21 is 3.

Thus, LCM of Fractions is 60.Finally, LCM of Fractions for 36/9, 45/12, 60/21 is 60.