Least Common Multiple of 9612/905, 6363/498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9612/905, 6363/498 quickly i.e. 6795684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9612/905, 6363/498 is 6795684.

LCM(9612/905, 6363/498) = 6795684

LCM of 9612/905, 6363/498

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 9612/905,6363/498

Given numbers are 9612/905,6363/498

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 9612,6363

Least Common Multiple of Numerators i.e. LCM of 9612,6363 is 6795684.

GCF of Denominators means GCF of 905,498 as per the given fractions.

GCF of 905,498 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9612,6363

LCM of Fractions 9612/905,6363/498 is 6795684

3 9612, 6363
3 3204, 2121
1068, 707

∴ So the LCM of the given numbers is 3 x 3 x 1068 x 707 = 6795684

Least Common Multiple of 9612,6363 with GCF Formula

Least Common Multiple of 9612,6363 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 9612,6363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9612,6363) = 9

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

GCF(9612,6363) x common factors =9 x 1 = 9

LCM(9612,6363) = ( 9612 × 6363 ) / 9

LCM(9612,6363) = 61161156 / 9

LCM(9612,6363) = 6795684


Lets's calculate GCF of 905,498

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6795684/1

Therefore the LCM of Fractions 9612/905,6363/498 is 6795684

Greatest Common Factor of 905,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 905,498 By Matching Biggest Common Factor Method

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 905,498 . The biggest common factor number is the GCF number.
So the greatest common factor 905,498 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9612/905, 6363/498

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 9612/905, 6363/498?

Answer: LCM of Numerators as per given numbers 9612/905, 6363/498 is

LCM of Numerators i.e. for 9612,6363 is 6795684

GCF of denominators i.e. for 905,498 is 1.

Thus, LCM of Fractions is 6795684.Finally, LCM of Fractions for 9612/905, 6363/498 is 6795684.