Least Common Multiple of 613/731, 2695/364

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 613/731, 2695/364 quickly i.e. 1652035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 613/731, 2695/364 is 1652035.

LCM(613/731, 2695/364) = 1652035

LCM of 613/731, 2695/364

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 613/731,2695/364

Given numbers are 613/731,2695/364

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 613,2695

Least Common Multiple of Numerators i.e. LCM of 613,2695 is 1652035.

GCF of Denominators means GCF of 731,364 as per the given fractions.

GCF of 731,364 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 613,2695

LCM of Fractions 613/731,2695/364 is 1652035

Given numbers has no common factors except 1. So, there LCM is their product i.e 1652035

Least Common Multiple of 613,2695 with GCF Formula

Least Common Multiple of 613,2695 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 613,2695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(613,2695) = 1

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

GCF(613,2695) x common factors =1 x 1 = 1

LCM(613,2695) = ( 613 × 2695 ) / 1

LCM(613,2695) = 1652035 / 1

LCM(613,2695) = 1652035


Lets's calculate GCF of 731,364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1652035/1

Therefore the LCM of Fractions 613/731,2695/364 is 1652035

Greatest Common Factor of 731,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 731,364 By Matching Biggest Common Factor Method

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 731,364 . The biggest common factor number is the GCF number.
So the greatest common factor 731,364 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 613/731, 2695/364

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 613/731, 2695/364?

Answer: LCM of Numerators as per given numbers 613/731, 2695/364 is

LCM of Numerators i.e. for 613,2695 is 1652035

GCF of denominators i.e. for 731,364 is 1.

Thus, LCM of Fractions is 1652035.Finally, LCM of Fractions for 613/731, 2695/364 is 1652035.