Least Common Multiple of 636/18, 909/7490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 636/18, 909/7490 quickly i.e. 96354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 636/18, 909/7490 is 96354.

LCM(636/18, 909/7490) = 96354

LCM of 636/18, 909/7490

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 636/18,909/7490

Given numbers are 636/18,909/7490

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 636,909

Least Common Multiple of Numerators i.e. LCM of 636,909 is 192708.

GCF of Denominators means GCF of 18,7490 as per the given fractions.

GCF of 18,7490 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 636,909

LCM of Fractions 636/18,909/7490 is 96354

3 636, 909
212, 303

∴ So the LCM of the given numbers is 3 x 212 x 303 = 192708

Least Common Multiple of 636,909 with GCF Formula

Least Common Multiple of 636,909 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 636,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(636,909) = 3

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

GCF(636,909) x common factors =3 x 1 = 3

LCM(636,909) = ( 636 × 909 ) / 3

LCM(636,909) = 578124 / 3

LCM(636,909) = 192708


Lets's calculate GCF of 18,7490

2 18, 7490
9, 3745

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192708/2

Therefore the LCM of Fractions 636/18,909/7490 is 96354

Greatest Common Factor of 18,7490 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,7490 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 7490

List of positive integer factors of 7490 that divides 7490 without a remainder.

1,2,5,7,10,14,35,70,107,214,535,749,1070,1498,3745,7490

Greatest Common Factor

We found the factors 18,7490 . The biggest common factor number is the GCF number.
So the greatest common factor 18,7490 is 2.


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Frequently Asked Questions on Fractional LCM of 636/18, 909/7490

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 636/18, 909/7490?

Answer: LCM of Numerators as per given numbers 636/18, 909/7490 is

LCM of Numerators i.e. for 636,909 is 192708

GCF of denominators i.e. for 18,7490 is 2.

Thus, LCM of Fractions is 96354.Finally, LCM of Fractions for 636/18, 909/7490 is 96354.