Least Common Multiple of 865/52, 5852/273

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 865/52, 5852/273 quickly i.e. 5061980/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 865/52, 5852/273 is 5061980/13.

LCM(865/52, 5852/273) = 5061980/13

LCM of 865/52, 5852/273

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 865/52,5852/273

Given numbers are 865/52,5852/273

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 865,5852

Least Common Multiple of Numerators i.e. LCM of 865,5852 is 5061980.

GCF of Denominators means GCF of 52,273 as per the given fractions.

GCF of 52,273 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 865,5852

LCM of Fractions 865/52,5852/273 is 5061980/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 5061980

Least Common Multiple of 865,5852 with GCF Formula

Least Common Multiple of 865,5852 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 865,5852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(865,5852) = 1

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

GCF(865,5852) x common factors =1 x 1 = 1

LCM(865,5852) = ( 865 × 5852 ) / 1

LCM(865,5852) = 5061980 / 1

LCM(865,5852) = 5061980


Lets's calculate GCF of 52,273

13 52, 273
4, 21

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5061980/13

Therefore the LCM of Fractions 865/52,5852/273 is 5061980/13

Greatest Common Factor of 52,273 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,273 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 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Greatest Common Factor

We found the factors 52,273 . The biggest common factor number is the GCF number.
So the greatest common factor 52,273 is 13.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 865/52, 5852/273

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 865/52, 5852/273?

Answer: LCM of Numerators as per given numbers 865/52, 5852/273 is

LCM of Numerators i.e. for 865,5852 is 5061980

GCF of denominators i.e. for 52,273 is 13.

Thus, LCM of Fractions is 5061980/13.Finally, LCM of Fractions for 865/52, 5852/273 is 5061980/13.