Least Common Multiple of 76/727, 2564/3635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/727, 2564/3635 quickly i.e. 48716/727 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/727, 2564/3635 is 48716/727.

LCM(76/727, 2564/3635) = 48716/727

LCM of 76/727, 2564/3635

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 76/727,2564/3635

Given numbers are 76/727,2564/3635

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 76,2564

Least Common Multiple of Numerators i.e. LCM of 76,2564 is 48716.

GCF of Denominators means GCF of 727,3635 as per the given fractions.

GCF of 727,3635 is 727 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,2564

LCM of Fractions 76/727,2564/3635 is 48716/727

2 76, 2564
2 38, 1282
19, 641

∴ So the LCM of the given numbers is 2 x 2 x 19 x 641 = 48716

Least Common Multiple of 76,2564 with GCF Formula

Least Common Multiple of 76,2564 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 76,2564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,2564) = 4

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

GCF(76,2564) x common factors =4 x 1 = 4

LCM(76,2564) = ( 76 × 2564 ) / 4

LCM(76,2564) = 194864 / 4

LCM(76,2564) = 48716


Lets's calculate GCF of 727,3635

727 727, 3635
1, 5

∴ So the GCF of the given numbers is 727 = 727

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48716/727

Therefore the LCM of Fractions 76/727,2564/3635 is 48716/727

Greatest Common Factor of 727,3635 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,3635 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 3635

List of positive integer factors of 3635 that divides 3635 without a remainder.

1,5,727,3635

Greatest Common Factor

We found the factors 727,3635 . The biggest common factor number is the GCF number.
So the greatest common factor 727,3635 is 727.


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 76/727, 2564/3635

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 76/727, 2564/3635?

Answer: LCM of Numerators as per given numbers 76/727, 2564/3635 is

LCM of Numerators i.e. for 76,2564 is 48716

GCF of denominators i.e. for 727,3635 is 727.

Thus, LCM of Fractions is 48716/727.Finally, LCM of Fractions for 76/727, 2564/3635 is 48716/727.