Least Common Multiple of 138/40, 529/6968

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 138/40, 529/6968 quickly i.e. 3174/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 138/40, 529/6968 is 3174/8.

LCM(138/40, 529/6968) = 3174/8

LCM of 138/40, 529/6968

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 138/40,529/6968

Given numbers are 138/40,529/6968

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 138,529

Least Common Multiple of Numerators i.e. LCM of 138,529 is 3174.

GCF of Denominators means GCF of 40,6968 as per the given fractions.

GCF of 40,6968 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 138,529

LCM of Fractions 138/40,529/6968 is 3174/8

23 138, 529
6, 23

∴ So the LCM of the given numbers is 23 x 6 x 23 = 3174

Least Common Multiple of 138,529 with GCF Formula

Least Common Multiple of 138,529 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 138,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,529) = 23

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

GCF(138,529) x common factors =23 x 1 = 23

LCM(138,529) = ( 138 × 529 ) / 23

LCM(138,529) = 73002 / 23

LCM(138,529) = 3174


Lets's calculate GCF of 40,6968

2 40, 6968
2 20, 3484
2 10, 1742
5, 871

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3174/8

Therefore the LCM of Fractions 138/40,529/6968 is 3174/8

Greatest Common Factor of 40,6968 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,6968 By Matching Biggest Common Factor Method

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 6968

List of positive integer factors of 6968 that divides 6968 without a remainder.

1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968

Greatest Common Factor

We found the factors 40,6968 . The biggest common factor number is the GCF number.
So the greatest common factor 40,6968 is 8.


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 138/40, 529/6968

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 138/40, 529/6968?

Answer: LCM of Numerators as per given numbers 138/40, 529/6968 is

LCM of Numerators i.e. for 138,529 is 3174

GCF of denominators i.e. for 40,6968 is 8.

Thus, LCM of Fractions is 3174/8.Finally, LCM of Fractions for 138/40, 529/6968 is 3174/8.