Least Common Multiple of 36/441, 7575/9555

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/441, 7575/9555 quickly i.e. 90900/147 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/441, 7575/9555 is 90900/147.

LCM(36/441, 7575/9555) = 90900/147

LCM of 36/441, 7575/9555

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 36/441,7575/9555

Given numbers are 36/441,7575/9555

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 36,7575

Least Common Multiple of Numerators i.e. LCM of 36,7575 is 90900.

GCF of Denominators means GCF of 441,9555 as per the given fractions.

GCF of 441,9555 is 147 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,7575

LCM of Fractions 36/441,7575/9555 is 90900/147

3 36, 7575
12, 2525

∴ So the LCM of the given numbers is 3 x 12 x 2525 = 90900

Least Common Multiple of 36,7575 with GCF Formula

Least Common Multiple of 36,7575 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 36,7575 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,7575) = 3

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

GCF(36,7575) x common factors =3 x 1 = 3

LCM(36,7575) = ( 36 × 7575 ) / 3

LCM(36,7575) = 272700 / 3

LCM(36,7575) = 90900


Lets's calculate GCF of 441,9555

3 441, 9555
7 147, 3185
7 21, 455
3, 65

∴ So the GCF of the given numbers is 3 x 7 x 7 = 147

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90900/147

Therefore the LCM of Fractions 36/441,7575/9555 is 90900/147

Greatest Common Factor of 441,9555 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,9555 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 9555

List of positive integer factors of 9555 that divides 9555 without a remainder.

1,3,5,7,13,15,21,35,39,49,65,91,105,147,195,245,273,455,637,735,1365,1911,3185,9555

Greatest Common Factor

We found the factors 441,9555 . The biggest common factor number is the GCF number.
So the greatest common factor 441,9555 is 147.


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 36/441, 7575/9555

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 36/441, 7575/9555?

Answer: LCM of Numerators as per given numbers 36/441, 7575/9555 is

LCM of Numerators i.e. for 36,7575 is 90900

GCF of denominators i.e. for 441,9555 is 147.

Thus, LCM of Fractions is 90900/147.Finally, LCM of Fractions for 36/441, 7575/9555 is 90900/147.