Least Common Multiple of 595/780, 517/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 595/780, 517/156 quickly i.e. 307615/156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 595/780, 517/156 is 307615/156.

LCM(595/780, 517/156) = 307615/156

LCM of 595/780, 517/156

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 595/780,517/156

Given numbers are 595/780,517/156

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 595,517

Least Common Multiple of Numerators i.e. LCM of 595,517 is 307615.

GCF of Denominators means GCF of 780,156 as per the given fractions.

GCF of 780,156 is 156 as it is the largest common factor for these numbers.

Lets's calculate LCM of 595,517

LCM of Fractions 595/780,517/156 is 307615/156

Given numbers has no common factors except 1. So, there LCM is their product i.e 307615

Least Common Multiple of 595,517 with GCF Formula

Least Common Multiple of 595,517 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 595,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,517) = 1

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

GCF(595,517) x common factors =1 x 1 = 1

LCM(595,517) = ( 595 × 517 ) / 1

LCM(595,517) = 307615 / 1

LCM(595,517) = 307615


Lets's calculate GCF of 780,156

2 780, 156
2 390, 78
3 195, 39
13 65, 13
5, 1

∴ So the GCF of the given numbers is 2 x 2 x 3 x 13 = 156

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307615/156

Therefore the LCM of Fractions 595/780,517/156 is 307615/156

Greatest Common Factor of 780,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,156 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 780,156 . The biggest common factor number is the GCF number.
So the greatest common factor 780,156 is 156.


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 595/780, 517/156

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 595/780, 517/156?

Answer: LCM of Numerators as per given numbers 595/780, 517/156 is

LCM of Numerators i.e. for 595,517 is 307615

GCF of denominators i.e. for 780,156 is 156.

Thus, LCM of Fractions is 307615/156.Finally, LCM of Fractions for 595/780, 517/156 is 307615/156.