Least Common Multiple of 36/577, 2272/5095

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/577, 2272/5095 quickly i.e. 20448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/577, 2272/5095 is 20448.

LCM(36/577, 2272/5095) = 20448

LCM of 36/577, 2272/5095

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 36/577,2272/5095

Given numbers are 36/577,2272/5095

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 36,2272

Least Common Multiple of Numerators i.e. LCM of 36,2272 is 20448.

GCF of Denominators means GCF of 577,5095 as per the given fractions.

GCF of 577,5095 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,2272

LCM of Fractions 36/577,2272/5095 is 20448

2 36, 2272
2 18, 1136
9, 568

∴ So the LCM of the given numbers is 2 x 2 x 9 x 568 = 20448

Least Common Multiple of 36,2272 with GCF Formula

Least Common Multiple of 36,2272 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 36,2272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,2272) = 4

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

GCF(36,2272) x common factors =4 x 1 = 4

LCM(36,2272) = ( 36 × 2272 ) / 4

LCM(36,2272) = 81792 / 4

LCM(36,2272) = 20448


Lets's calculate GCF of 577,5095

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20448/1

Therefore the LCM of Fractions 36/577,2272/5095 is 20448

Greatest Common Factor of 577,5095 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,5095 By Matching Biggest Common Factor Method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 5095

List of positive integer factors of 5095 that divides 5095 without a remainder.

1,5,1019,5095

Greatest Common Factor

We found the factors 577,5095 . The biggest common factor number is the GCF number.
So the greatest common factor 577,5095 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 36/577, 2272/5095

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 36/577, 2272/5095?

Answer: LCM of Numerators as per given numbers 36/577, 2272/5095 is

LCM of Numerators i.e. for 36,2272 is 20448

GCF of denominators i.e. for 577,5095 is 1.

Thus, LCM of Fractions is 20448.Finally, LCM of Fractions for 36/577, 2272/5095 is 20448.