Least Common Multiple of 29/78, 640/75, 156/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/78, 640/75, 156/187 quickly i.e. 723840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/78, 640/75, 156/187 is 723840.

LCM(29/78, 640/75, 156/187) = 723840

LCM of 29/78, 640/75, 156/187

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 29/78,640/75,156/187

Given numbers are 29/78,640/75,156/187

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 29,640,156

Least Common Multiple of Numerators i.e. LCM of 29,640,156 is 723840.

GCF of Denominators means GCF of 78,75,187 as per the given fractions.

GCF of 78,75,187 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,640,156

LCM of Fractions 29/78,640/75,156/187 is 723840

2 29, 640, 156
2 29, 320, 78
29, 160, 39

∴ So the LCM of the given numbers is 2 x 2 x 29 x 160 x 39 = 723840

Least Common Multiple of 29,640,156 with GCF Formula

Least Common Multiple of 29,640,156 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 29,640,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,640,156) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(29,640,156) x common factors =1 x 4 = 4

LCM(29,640,156) = ( 29 × 640 × 156 ) / 4

LCM(29,640,156) = 2895360 / 4

LCM(29,640,156) = 723840


Lets's calculate GCF of 78,75,187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 723840/1

Therefore the LCM of Fractions 29/78,640/75,156/187 is 723840

Greatest Common Factor of 78,75,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,75,187 By Matching Biggest Common Factor Method

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 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 78,75,187 . The biggest common factor number is the GCF number.
So the greatest common factor 78,75,187 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 29/78, 640/75, 156/187

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 29/78, 640/75, 156/187?

Answer: LCM of Numerators as per given numbers 29/78, 640/75, 156/187 is

LCM of Numerators i.e. for 29,640,156 is 723840

GCF of denominators i.e. for 78,75,187 is 1.

Thus, LCM of Fractions is 723840.Finally, LCM of Fractions for 29/78, 640/75, 156/187 is 723840.