Least Common Multiple of 94/76, 12/146, 672/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 94/76, 12/146, 672/108 quickly i.e. 15792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 94/76, 12/146, 672/108 is 15792.

LCM(94/76, 12/146, 672/108) = 15792

LCM of 94/76, 12/146, 672/108

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 94/76,12/146,672/108

Given numbers are 94/76,12/146,672/108

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 94,12,672

Least Common Multiple of Numerators i.e. LCM of 94,12,672 is 31584.

GCF of Denominators means GCF of 76,146,108 as per the given fractions.

GCF of 76,146,108 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 94,12,672

LCM of Fractions 94/76,12/146,672/108 is 15792

2 94, 12, 672
2 47, 6, 336
3 47, 3, 168
47, 1, 56

∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 1 x 56 = 31584

Least Common Multiple of 94,12,672 with GCF Formula

Least Common Multiple of 94,12,672 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 94,12,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,12,672) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(94,12,672) x common factors =2 x 12 = 24

LCM(94,12,672) = ( 94 × 12 × 672 ) / 24

LCM(94,12,672) = 758016 / 24

LCM(94,12,672) = 31584


Lets's calculate GCF of 76,146,108

2 76, 146, 108
38, 73, 54

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31584/2

Therefore the LCM of Fractions 94/76,12/146,672/108 is 15792

Greatest Common Factor of 76,146,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,146,108 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 76,146,108 . The biggest common factor number is the GCF number.
So the greatest common factor 76,146,108 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 94/76, 12/146, 672/108

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 94/76, 12/146, 672/108?

Answer: LCM of Numerators as per given numbers 94/76, 12/146, 672/108 is

LCM of Numerators i.e. for 94,12,672 is 31584

GCF of denominators i.e. for 76,146,108 is 2.

Thus, LCM of Fractions is 15792.Finally, LCM of Fractions for 94/76, 12/146, 672/108 is 15792.