Least Common Multiple of 8/39, 6/40, 89/42, 71/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8/39, 6/40, 89/42, 71/988 quickly i.e. 151656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8/39, 6/40, 89/42, 71/988 is 151656.

LCM(8/39, 6/40, 89/42, 71/988) = 151656

LCM of 8/39, 6/40, 89/42, 71/988

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 8/39,6/40,89/42,71/988

Given numbers are 8/39,6/40,89/42,71/988

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 8,6,89,71

Least Common Multiple of Numerators i.e. LCM of 8,6,89,71 is 151656.

GCF of Denominators means GCF of 39,40,42,988 as per the given fractions.

GCF of 39,40,42,988 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8,6,89,71

LCM of Fractions 8/39,6/40,89/42,71/988 is 151656

2 8, 6, 89, 71
4, 3, 89, 71

∴ So the LCM of the given numbers is 2 x 4 x 3 x 89 x 71 = 151656

Least Common Multiple of 8,6,89,71 with GCF Formula

Least Common Multiple of 8,6,89,71 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 8,6,89,71 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8,6,89,71) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(8,6,89,71) x common factors =1 x 2 = 2

LCM(8,6,89,71) = ( 8 × 6 × 89 × 71 ) / 2

LCM(8,6,89,71) = 303312 / 2

LCM(8,6,89,71) = 151656


Lets's calculate GCF of 39,40,42,988

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151656/1

Therefore the LCM of Fractions 8/39,6/40,89/42,71/988 is 151656

Greatest Common Factor of 39,40,42,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,40,42,988 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 39,40,42,988 . The biggest common factor number is the GCF number.
So the greatest common factor 39,40,42,988 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 8/39, 6/40, 89/42, 71/988

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 8/39, 6/40, 89/42, 71/988?

Answer: LCM of Numerators as per given numbers 8/39, 6/40, 89/42, 71/988 is

LCM of Numerators i.e. for 8,6,89,71 is 151656

GCF of denominators i.e. for 39,40,42,988 is 1.

Thus, LCM of Fractions is 151656.Finally, LCM of Fractions for 8/39, 6/40, 89/42, 71/988 is 151656.