Least Common Multiple of 53/752, 65/349, 867/241

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/752, 65/349, 867/241 quickly i.e. 2986815 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/752, 65/349, 867/241 is 2986815.

LCM(53/752, 65/349, 867/241) = 2986815

LCM of 53/752, 65/349, 867/241

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 53/752,65/349,867/241

Given numbers are 53/752,65/349,867/241

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 53,65,867

Least Common Multiple of Numerators i.e. LCM of 53,65,867 is 2986815.

GCF of Denominators means GCF of 752,349,241 as per the given fractions.

GCF of 752,349,241 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,65,867

LCM of Fractions 53/752,65/349,867/241 is 2986815

Given numbers has no common factors except 1. So, there LCM is their product i.e 2986815

Least Common Multiple of 53,65,867 with GCF Formula

Least Common Multiple of 53,65,867 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 53,65,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,65,867) = 1

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

GCF(53,65,867) x common factors =1 x 1 = 1

LCM(53,65,867) = ( 53 × 65 × 867 ) / 1

LCM(53,65,867) = 2986815 / 1

LCM(53,65,867) = 2986815


Lets's calculate GCF of 752,349,241

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2986815/1

Therefore the LCM of Fractions 53/752,65/349,867/241 is 2986815

Greatest Common Factor of 752,349,241 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,349,241 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Greatest Common Factor

We found the factors 752,349,241 . The biggest common factor number is the GCF number.
So the greatest common factor 752,349,241 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 53/752, 65/349, 867/241

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 53/752, 65/349, 867/241?

Answer: LCM of Numerators as per given numbers 53/752, 65/349, 867/241 is

LCM of Numerators i.e. for 53,65,867 is 2986815

GCF of denominators i.e. for 752,349,241 is 1.

Thus, LCM of Fractions is 2986815.Finally, LCM of Fractions for 53/752, 65/349, 867/241 is 2986815.