Least Common Multiple of 3/12, 3/78, 2/60, 71/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/12, 3/78, 2/60, 71/971 quickly i.e. 426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/12, 3/78, 2/60, 71/971 is 426.

LCM(3/12, 3/78, 2/60, 71/971) = 426

LCM of 3/12, 3/78, 2/60, 71/971

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 3/12,3/78,2/60,71/971

Given numbers are 3/12,3/78,2/60,71/971

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 3,3,2,71

Least Common Multiple of Numerators i.e. LCM of 3,3,2,71 is 426.

GCF of Denominators means GCF of 12,78,60,971 as per the given fractions.

GCF of 12,78,60,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,3,2,71

LCM of Fractions 3/12,3/78,2/60,71/971 is 426

3 3, 3, 2, 71
1, 1, 2, 71

∴ So the LCM of the given numbers is 3 x 1 x 1 x 2 x 71 = 426

Least Common Multiple of 3,3,2,71 with GCF Formula

Least Common Multiple of 3,3,2,71 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 3,3,2,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,3,2,71) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(3,3,2,71) x common factors =1 x 3 = 3

LCM(3,3,2,71) = ( 3 × 3 × 2 × 71 ) / 3

LCM(3,3,2,71) = 1278 / 3

LCM(3,3,2,71) = 426


Lets's calculate GCF of 12,78,60,971

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 426/1

Therefore the LCM of Fractions 3/12,3/78,2/60,71/971 is 426

Greatest Common Factor of 12,78,60,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,78,60,971 By Matching Biggest Common Factor Method

Factors of 12

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

1,2,3,4,6,12

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

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

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 12,78,60,971 . The biggest common factor number is the GCF number.
So the greatest common factor 12,78,60,971 is 1.


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 3/12, 3/78, 2/60, 71/971

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 3/12, 3/78, 2/60, 71/971?

Answer: LCM of Numerators as per given numbers 3/12, 3/78, 2/60, 71/971 is

LCM of Numerators i.e. for 3,3,2,71 is 426

GCF of denominators i.e. for 12,78,60,971 is 1.

Thus, LCM of Fractions is 426.Finally, LCM of Fractions for 3/12, 3/78, 2/60, 71/971 is 426.