Least Common Multiple of 971/60, 427/1656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 971/60, 427/1656 quickly i.e. 414617/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 971/60, 427/1656 is 414617/12.

LCM(971/60, 427/1656) = 414617/12

LCM of 971/60, 427/1656

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 971/60,427/1656

Given numbers are 971/60,427/1656

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 971,427

Least Common Multiple of Numerators i.e. LCM of 971,427 is 414617.

GCF of Denominators means GCF of 60,1656 as per the given fractions.

GCF of 60,1656 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 971,427

LCM of Fractions 971/60,427/1656 is 414617/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 414617

Least Common Multiple of 971,427 with GCF Formula

Least Common Multiple of 971,427 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 971,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,427) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(971,427) x common factors =1 x 1 = 1

LCM(971,427) = ( 971 × 427 ) / 1

LCM(971,427) = 414617 / 1

LCM(971,427) = 414617


Lets's calculate GCF of 60,1656

2 60, 1656
2 30, 828
3 15, 414
5, 138

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414617/12

Therefore the LCM of Fractions 971/60,427/1656 is 414617/12

Greatest Common Factor of 60,1656 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,1656 By Matching Biggest Common Factor Method

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 1656

List of positive integer factors of 1656 that divides 1656 without a remainder.

1,2,3,4,6,8,9,12,18,23,24,36,46,69,72,92,138,184,207,276,414,552,828,1656

Greatest Common Factor

We found the factors 60,1656 . The biggest common factor number is the GCF number.
So the greatest common factor 60,1656 is 12.


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 971/60, 427/1656

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 971/60, 427/1656?

Answer: LCM of Numerators as per given numbers 971/60, 427/1656 is

LCM of Numerators i.e. for 971,427 is 414617

GCF of denominators i.e. for 60,1656 is 12.

Thus, LCM of Fractions is 414617/12.Finally, LCM of Fractions for 971/60, 427/1656 is 414617/12.