Least Common Multiple of 53/576, 137/663, 760/611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 53/576, 137/663, 760/611 quickly i.e. 5518360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/576, 137/663, 760/611 is 5518360.

LCM(53/576, 137/663, 760/611) = 5518360

LCM of 53/576, 137/663, 760/611

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 53/576,137/663,760/611

Given numbers are 53/576,137/663,760/611

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 53,137,760

Least Common Multiple of Numerators i.e. LCM of 53,137,760 is 5518360.

GCF of Denominators means GCF of 576,663,611 as per the given fractions.

GCF of 576,663,611 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,137,760

LCM of Fractions 53/576,137/663,760/611 is 5518360

Given numbers has no common factors except 1. So, there LCM is their product i.e 5518360

Least Common Multiple of 53,137,760 with GCF Formula

Least Common Multiple of 53,137,760 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 53,137,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,137,760) = 1

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

GCF(53,137,760) x common factors =1 x 1 = 1

LCM(53,137,760) = ( 53 × 137 × 760 ) / 1

LCM(53,137,760) = 5518360 / 1

LCM(53,137,760) = 5518360


Lets's calculate GCF of 576,663,611

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5518360/1

Therefore the LCM of Fractions 53/576,137/663,760/611 is 5518360

Greatest Common Factor of 576,663,611 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,663,611 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Greatest Common Factor

We found the factors 576,663,611 . The biggest common factor number is the GCF number.
So the greatest common factor 576,663,611 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 53/576, 137/663, 760/611

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 53/576, 137/663, 760/611?

Answer: LCM of Numerators as per given numbers 53/576, 137/663, 760/611 is

LCM of Numerators i.e. for 53,137,760 is 5518360

GCF of denominators i.e. for 576,663,611 is 1.

Thus, LCM of Fractions is 5518360.Finally, LCM of Fractions for 53/576, 137/663, 760/611 is 5518360.