Least Common Multiple of 78/187, 36/481, 593/875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 78/187, 36/481, 593/875 quickly i.e. 277524 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/187, 36/481, 593/875 is 277524.

LCM(78/187, 36/481, 593/875) = 277524

LCM of 78/187, 36/481, 593/875

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 78/187,36/481,593/875

Given numbers are 78/187,36/481,593/875

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 78,36,593

Least Common Multiple of Numerators i.e. LCM of 78,36,593 is 277524.

GCF of Denominators means GCF of 187,481,875 as per the given fractions.

GCF of 187,481,875 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,36,593

LCM of Fractions 78/187,36/481,593/875 is 277524

2 78, 36, 593
3 39, 18, 593
13, 6, 593

∴ So the LCM of the given numbers is 2 x 3 x 13 x 6 x 593 = 277524

Least Common Multiple of 78,36,593 with GCF Formula

Least Common Multiple of 78,36,593 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 78,36,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,36,593) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(78,36,593) x common factors =1 x 6 = 6

LCM(78,36,593) = ( 78 × 36 × 593 ) / 6

LCM(78,36,593) = 1665144 / 6

LCM(78,36,593) = 277524


Lets's calculate GCF of 187,481,875

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 277524/1

Therefore the LCM of Fractions 78/187,36/481,593/875 is 277524

Greatest Common Factor of 187,481,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,481,875 By Matching Biggest Common Factor Method

Factors of 187

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

1,11,17,187

Factors of 481

List of positive integer factors of 481 that divides 481 without a remainder.

1,13,37,481

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 187,481,875 . The biggest common factor number is the GCF number.
So the greatest common factor 187,481,875 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 78/187, 36/481, 593/875

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 78/187, 36/481, 593/875?

Answer: LCM of Numerators as per given numbers 78/187, 36/481, 593/875 is

LCM of Numerators i.e. for 78,36,593 is 277524

GCF of denominators i.e. for 187,481,875 is 1.

Thus, LCM of Fractions is 277524.Finally, LCM of Fractions for 78/187, 36/481, 593/875 is 277524.