Least Common Multiple of 7053/469, 9660/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 7053/469, 9660/591 quickly i.e. 22710660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7053/469, 9660/591 is 22710660.

LCM(7053/469, 9660/591) = 22710660

LCM of 7053/469, 9660/591

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 7053/469,9660/591

Given numbers are 7053/469,9660/591

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 7053,9660

Least Common Multiple of Numerators i.e. LCM of 7053,9660 is 22710660.

GCF of Denominators means GCF of 469,591 as per the given fractions.

GCF of 469,591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7053,9660

LCM of Fractions 7053/469,9660/591 is 22710660

3 7053, 9660
2351, 3220

∴ So the LCM of the given numbers is 3 x 2351 x 3220 = 22710660

Least Common Multiple of 7053,9660 with GCF Formula

Least Common Multiple of 7053,9660 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 7053,9660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7053,9660) = 3

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

GCF(7053,9660) x common factors =3 x 1 = 3

LCM(7053,9660) = ( 7053 × 9660 ) / 3

LCM(7053,9660) = 68131980 / 3

LCM(7053,9660) = 22710660


Lets's calculate GCF of 469,591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22710660/1

Therefore the LCM of Fractions 7053/469,9660/591 is 22710660

Greatest Common Factor of 469,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,591 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 469,591 . The biggest common factor number is the GCF number.
So the greatest common factor 469,591 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 7053/469, 9660/591

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 7053/469, 9660/591?

Answer: LCM of Numerators as per given numbers 7053/469, 9660/591 is

LCM of Numerators i.e. for 7053,9660 is 22710660

GCF of denominators i.e. for 469,591 is 1.

Thus, LCM of Fractions is 22710660.Finally, LCM of Fractions for 7053/469, 9660/591 is 22710660.