Least Common Multiple of 241/47, 272/95, 396/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 241/47, 272/95, 396/852 quickly i.e. 6489648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 241/47, 272/95, 396/852 is 6489648.

LCM(241/47, 272/95, 396/852) = 6489648

LCM of 241/47, 272/95, 396/852

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 241/47,272/95,396/852

Given numbers are 241/47,272/95,396/852

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 241,272,396

Least Common Multiple of Numerators i.e. LCM of 241,272,396 is 6489648.

GCF of Denominators means GCF of 47,95,852 as per the given fractions.

GCF of 47,95,852 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 241,272,396

LCM of Fractions 241/47,272/95,396/852 is 6489648

2 241, 272, 396
2 241, 136, 198
241, 68, 99

∴ So the LCM of the given numbers is 2 x 2 x 241 x 68 x 99 = 6489648

Least Common Multiple of 241,272,396 with GCF Formula

Least Common Multiple of 241,272,396 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 241,272,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,272,396) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(241,272,396) x common factors =1 x 4 = 4

LCM(241,272,396) = ( 241 × 272 × 396 ) / 4

LCM(241,272,396) = 25958592 / 4

LCM(241,272,396) = 6489648


Lets's calculate GCF of 47,95,852

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6489648/1

Therefore the LCM of Fractions 241/47,272/95,396/852 is 6489648

Greatest Common Factor of 47,95,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,95,852 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 47,95,852 . The biggest common factor number is the GCF number.
So the greatest common factor 47,95,852 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 241/47, 272/95, 396/852

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 241/47, 272/95, 396/852?

Answer: LCM of Numerators as per given numbers 241/47, 272/95, 396/852 is

LCM of Numerators i.e. for 241,272,396 is 6489648

GCF of denominators i.e. for 47,95,852 is 1.

Thus, LCM of Fractions is 6489648.Finally, LCM of Fractions for 241/47, 272/95, 396/852 is 6489648.