Least Common Multiple of 3971/942, 7478/4008

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3971/942, 7478/4008 quickly i.e. 29695138/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3971/942, 7478/4008 is 29695138/6.

LCM(3971/942, 7478/4008) = 29695138/6

LCM of 3971/942, 7478/4008

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 3971/942,7478/4008

Given numbers are 3971/942,7478/4008

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 3971,7478

Least Common Multiple of Numerators i.e. LCM of 3971,7478 is 29695138.

GCF of Denominators means GCF of 942,4008 as per the given fractions.

GCF of 942,4008 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3971,7478

LCM of Fractions 3971/942,7478/4008 is 29695138/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 29695138

Least Common Multiple of 3971,7478 with GCF Formula

Least Common Multiple of 3971,7478 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 3971,7478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3971,7478) = 1

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

GCF(3971,7478) x common factors =1 x 1 = 1

LCM(3971,7478) = ( 3971 × 7478 ) / 1

LCM(3971,7478) = 29695138 / 1

LCM(3971,7478) = 29695138


Lets's calculate GCF of 942,4008

2 942, 4008
3 471, 2004
157, 668

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29695138/6

Therefore the LCM of Fractions 3971/942,7478/4008 is 29695138/6

Greatest Common Factor of 942,4008 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,4008 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 4008

List of positive integer factors of 4008 that divides 4008 without a remainder.

1,2,3,4,6,8,12,24,167,334,501,668,1002,1336,2004,4008

Greatest Common Factor

We found the factors 942,4008 . The biggest common factor number is the GCF number.
So the greatest common factor 942,4008 is 6.


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 3971/942, 7478/4008

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 3971/942, 7478/4008?

Answer: LCM of Numerators as per given numbers 3971/942, 7478/4008 is

LCM of Numerators i.e. for 3971,7478 is 29695138

GCF of denominators i.e. for 942,4008 is 6.

Thus, LCM of Fractions is 29695138/6.Finally, LCM of Fractions for 3971/942, 7478/4008 is 29695138/6.