Least Common Multiple of 12/972, 76/112, 656/380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/972, 76/112, 656/380 quickly i.e. 9348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/972, 76/112, 656/380 is 9348.

LCM(12/972, 76/112, 656/380) = 9348

LCM of 12/972, 76/112, 656/380

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 12/972,76/112,656/380

Given numbers are 12/972,76/112,656/380

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 12,76,656

Least Common Multiple of Numerators i.e. LCM of 12,76,656 is 37392.

GCF of Denominators means GCF of 972,112,380 as per the given fractions.

GCF of 972,112,380 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,76,656

LCM of Fractions 12/972,76/112,656/380 is 9348

2 12, 76, 656
2 6, 38, 328
3, 19, 164

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 164 = 37392

Least Common Multiple of 12,76,656 with GCF Formula

Least Common Multiple of 12,76,656 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 12,76,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,76,656) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(12,76,656) x common factors =4 x 4 = 16

LCM(12,76,656) = ( 12 × 76 × 656 ) / 16

LCM(12,76,656) = 598272 / 16

LCM(12,76,656) = 37392


Lets's calculate GCF of 972,112,380

2 972, 112, 380
2 486, 56, 190
243, 28, 95

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37392/4

Therefore the LCM of Fractions 12/972,76/112,656/380 is 9348

Greatest Common Factor of 972,112,380 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,112,380 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

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 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Greatest Common Factor

We found the factors 972,112,380 . The biggest common factor number is the GCF number.
So the greatest common factor 972,112,380 is 4.


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 12/972, 76/112, 656/380

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 12/972, 76/112, 656/380?

Answer: LCM of Numerators as per given numbers 12/972, 76/112, 656/380 is

LCM of Numerators i.e. for 12,76,656 is 37392

GCF of denominators i.e. for 972,112,380 is 4.

Thus, LCM of Fractions is 9348.Finally, LCM of Fractions for 12/972, 76/112, 656/380 is 9348.