Least Common Multiple of 2635/753, 4689/8696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2635/753, 4689/8696 quickly i.e. 12355515 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2635/753, 4689/8696 is 12355515.

LCM(2635/753, 4689/8696) = 12355515

LCM of 2635/753, 4689/8696

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 2635/753,4689/8696

Given numbers are 2635/753,4689/8696

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 2635,4689

Least Common Multiple of Numerators i.e. LCM of 2635,4689 is 12355515.

GCF of Denominators means GCF of 753,8696 as per the given fractions.

GCF of 753,8696 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2635,4689

LCM of Fractions 2635/753,4689/8696 is 12355515

Given numbers has no common factors except 1. So, there LCM is their product i.e 12355515

Least Common Multiple of 2635,4689 with GCF Formula

Least Common Multiple of 2635,4689 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 2635,4689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2635,4689) = 1

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

GCF(2635,4689) x common factors =1 x 1 = 1

LCM(2635,4689) = ( 2635 × 4689 ) / 1

LCM(2635,4689) = 12355515 / 1

LCM(2635,4689) = 12355515


Lets's calculate GCF of 753,8696

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12355515/1

Therefore the LCM of Fractions 2635/753,4689/8696 is 12355515

Greatest Common Factor of 753,8696 By Matching Biggest Common Factor Method

Greatest Common Factor of 753,8696 By Matching Biggest Common Factor Method

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Factors of 8696

List of positive integer factors of 8696 that divides 8696 without a remainder.

1,2,4,8,1087,2174,4348,8696

Greatest Common Factor

We found the factors 753,8696 . The biggest common factor number is the GCF number.
So the greatest common factor 753,8696 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 2635/753, 4689/8696

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 2635/753, 4689/8696?

Answer: LCM of Numerators as per given numbers 2635/753, 4689/8696 is

LCM of Numerators i.e. for 2635,4689 is 12355515

GCF of denominators i.e. for 753,8696 is 1.

Thus, LCM of Fractions is 12355515.Finally, LCM of Fractions for 2635/753, 4689/8696 is 12355515.