Least Common Multiple of 396/760, 2907/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 396/760, 2907/563 quickly i.e. 127908 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 396/760, 2907/563 is 127908.

LCM(396/760, 2907/563) = 127908

LCM of 396/760, 2907/563

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 396/760,2907/563

Given numbers are 396/760,2907/563

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 396,2907

Least Common Multiple of Numerators i.e. LCM of 396,2907 is 127908.

GCF of Denominators means GCF of 760,563 as per the given fractions.

GCF of 760,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 396,2907

LCM of Fractions 396/760,2907/563 is 127908

3 396, 2907
3 132, 969
44, 323

∴ So the LCM of the given numbers is 3 x 3 x 44 x 323 = 127908

Least Common Multiple of 396,2907 with GCF Formula

Least Common Multiple of 396,2907 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 396,2907 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,2907) = 9

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

GCF(396,2907) x common factors =9 x 1 = 9

LCM(396,2907) = ( 396 × 2907 ) / 9

LCM(396,2907) = 1151172 / 9

LCM(396,2907) = 127908


Lets's calculate GCF of 760,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127908/1

Therefore the LCM of Fractions 396/760,2907/563 is 127908

Greatest Common Factor of 760,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,563 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 760,563 . The biggest common factor number is the GCF number.
So the greatest common factor 760,563 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 396/760, 2907/563

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 396/760, 2907/563?

Answer: LCM of Numerators as per given numbers 396/760, 2907/563 is

LCM of Numerators i.e. for 396,2907 is 127908

GCF of denominators i.e. for 760,563 is 1.

Thus, LCM of Fractions is 127908.Finally, LCM of Fractions for 396/760, 2907/563 is 127908.