Least Common Multiple of 12/80, 36/112, 549/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/80, 36/112, 549/102 quickly i.e. 1098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/80, 36/112, 549/102 is 1098.

LCM(12/80, 36/112, 549/102) = 1098

LCM of 12/80, 36/112, 549/102

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 12/80,36/112,549/102

Given numbers are 12/80,36/112,549/102

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 12,36,549

Least Common Multiple of Numerators i.e. LCM of 12,36,549 is 2196.

GCF of Denominators means GCF of 80,112,102 as per the given fractions.

GCF of 80,112,102 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,36,549

LCM of Fractions 12/80,36/112,549/102 is 1098

2 12, 36, 549
2 6, 18, 549
3 3, 9, 549
3 1, 3, 183
1, 1, 61

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 1 x 61 = 2196

Least Common Multiple of 12,36,549 with GCF Formula

Least Common Multiple of 12,36,549 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 12,36,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,36,549) = 3

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

GCF(12,36,549) x common factors =3 x 36 = 108

LCM(12,36,549) = ( 12 × 36 × 549 ) / 108

LCM(12,36,549) = 237168 / 108

LCM(12,36,549) = 2196


Lets's calculate GCF of 80,112,102

2 80, 112, 102
40, 56, 51

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2196/2

Therefore the LCM of Fractions 12/80,36/112,549/102 is 1098

Greatest Common Factor of 80,112,102 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,112,102 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 112

List of positive integer factors of 112 that divides 112 without a remainder.

1,2,4,7,8,14,16,28,56,112

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Greatest Common Factor

We found the factors 80,112,102 . The biggest common factor number is the GCF number.
So the greatest common factor 80,112,102 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 12/80, 36/112, 549/102

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 12/80, 36/112, 549/102?

Answer: LCM of Numerators as per given numbers 12/80, 36/112, 549/102 is

LCM of Numerators i.e. for 12,36,549 is 2196

GCF of denominators i.e. for 80,112,102 is 2.

Thus, LCM of Fractions is 1098.Finally, LCM of Fractions for 12/80, 36/112, 549/102 is 1098.