Least Common Multiple of 765/52, 6113/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 765/52, 6113/486 quickly i.e. 4676445/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 765/52, 6113/486 is 4676445/2.

LCM(765/52, 6113/486) = 4676445/2

LCM of 765/52, 6113/486

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 765/52,6113/486

Given numbers are 765/52,6113/486

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 765,6113

Least Common Multiple of Numerators i.e. LCM of 765,6113 is 4676445.

GCF of Denominators means GCF of 52,486 as per the given fractions.

GCF of 52,486 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 765,6113

LCM of Fractions 765/52,6113/486 is 4676445/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 4676445

Least Common Multiple of 765,6113 with GCF Formula

Least Common Multiple of 765,6113 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 765,6113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,6113) = 1

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

GCF(765,6113) x common factors =1 x 1 = 1

LCM(765,6113) = ( 765 × 6113 ) / 1

LCM(765,6113) = 4676445 / 1

LCM(765,6113) = 4676445


Lets's calculate GCF of 52,486

2 52, 486
26, 243

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4676445/2

Therefore the LCM of Fractions 765/52,6113/486 is 4676445/2

Greatest Common Factor of 52,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,486 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 52,486 . The biggest common factor number is the GCF number.
So the greatest common factor 52,486 is 2.


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Frequently Asked Questions on Fractional LCM of 765/52, 6113/486

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 765/52, 6113/486?

Answer: LCM of Numerators as per given numbers 765/52, 6113/486 is

LCM of Numerators i.e. for 765,6113 is 4676445

GCF of denominators i.e. for 52,486 is 2.

Thus, LCM of Fractions is 4676445/2.Finally, LCM of Fractions for 765/52, 6113/486 is 4676445/2.