Least Common Multiple of 113/128, 7695/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 113/128, 7695/625 quickly i.e. 869535 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 113/128, 7695/625 is 869535.

LCM(113/128, 7695/625) = 869535

LCM of 113/128, 7695/625

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 113/128,7695/625

Given numbers are 113/128,7695/625

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 113,7695

Least Common Multiple of Numerators i.e. LCM of 113,7695 is 869535.

GCF of Denominators means GCF of 128,625 as per the given fractions.

GCF of 128,625 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 113,7695

LCM of Fractions 113/128,7695/625 is 869535

Given numbers has no common factors except 1. So, there LCM is their product i.e 869535

Least Common Multiple of 113,7695 with GCF Formula

Least Common Multiple of 113,7695 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 113,7695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(113,7695) = 1

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

GCF(113,7695) x common factors =1 x 1 = 1

LCM(113,7695) = ( 113 × 7695 ) / 1

LCM(113,7695) = 869535 / 1

LCM(113,7695) = 869535


Lets's calculate GCF of 128,625

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 869535/1

Therefore the LCM of Fractions 113/128,7695/625 is 869535

Greatest Common Factor of 128,625 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,625 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

1,2,4,8,16,32,64,128

Factors of 625

List of positive integer factors of 625 that divides 625 without a remainder.

1,5,25,125,625

Greatest Common Factor

We found the factors 128,625 . The biggest common factor number is the GCF number.
So the greatest common factor 128,625 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 113/128, 7695/625

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 113/128, 7695/625?

Answer: LCM of Numerators as per given numbers 113/128, 7695/625 is

LCM of Numerators i.e. for 113,7695 is 869535

GCF of denominators i.e. for 128,625 is 1.

Thus, LCM of Fractions is 869535.Finally, LCM of Fractions for 113/128, 7695/625 is 869535.