Least Common Multiple of 595/71, 780/6836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 595/71, 780/6836 quickly i.e. 92820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 595/71, 780/6836 is 92820.

LCM(595/71, 780/6836) = 92820

LCM of 595/71, 780/6836

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 595/71,780/6836

Given numbers are 595/71,780/6836

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 595,780

Least Common Multiple of Numerators i.e. LCM of 595,780 is 92820.

GCF of Denominators means GCF of 71,6836 as per the given fractions.

GCF of 71,6836 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 595,780

LCM of Fractions 595/71,780/6836 is 92820

5 595, 780
119, 156

∴ So the LCM of the given numbers is 5 x 119 x 156 = 92820

Least Common Multiple of 595,780 with GCF Formula

Least Common Multiple of 595,780 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 595,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,780) = 5

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

GCF(595,780) x common factors =5 x 1 = 5

LCM(595,780) = ( 595 × 780 ) / 5

LCM(595,780) = 464100 / 5

LCM(595,780) = 92820


Lets's calculate GCF of 71,6836

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92820/1

Therefore the LCM of Fractions 595/71,780/6836 is 92820

Greatest Common Factor of 71,6836 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,6836 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 6836

List of positive integer factors of 6836 that divides 6836 without a remainder.

1,2,4,1709,3418,6836

Greatest Common Factor

We found the factors 71,6836 . The biggest common factor number is the GCF number.
So the greatest common factor 71,6836 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 595/71, 780/6836

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 595/71, 780/6836?

Answer: LCM of Numerators as per given numbers 595/71, 780/6836 is

LCM of Numerators i.e. for 595,780 is 92820

GCF of denominators i.e. for 71,6836 is 1.

Thus, LCM of Fractions is 92820.Finally, LCM of Fractions for 595/71, 780/6836 is 92820.