Least Common Multiple of 728/48, 172/27, 236/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/48, 172/27, 236/965 quickly i.e. 1846936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/48, 172/27, 236/965 is 1846936.

LCM(728/48, 172/27, 236/965) = 1846936

LCM of 728/48, 172/27, 236/965

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 728/48,172/27,236/965

Given numbers are 728/48,172/27,236/965

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 728,172,236

Least Common Multiple of Numerators i.e. LCM of 728,172,236 is 1846936.

GCF of Denominators means GCF of 48,27,965 as per the given fractions.

GCF of 48,27,965 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,172,236

LCM of Fractions 728/48,172/27,236/965 is 1846936

2 728, 172, 236
2 364, 86, 118
182, 43, 59

∴ So the LCM of the given numbers is 2 x 2 x 182 x 43 x 59 = 1846936

Least Common Multiple of 728,172,236 with GCF Formula

Least Common Multiple of 728,172,236 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 728,172,236 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,172,236) = 4

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

GCF(728,172,236) x common factors =4 x 4 = 16

LCM(728,172,236) = ( 728 × 172 × 236 ) / 16

LCM(728,172,236) = 29550976 / 16

LCM(728,172,236) = 1846936


Lets's calculate GCF of 48,27,965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1846936/1

Therefore the LCM of Fractions 728/48,172/27,236/965 is 1846936

Greatest Common Factor of 48,27,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,27,965 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 48,27,965 . The biggest common factor number is the GCF number.
So the greatest common factor 48,27,965 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 728/48, 172/27, 236/965

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 728/48, 172/27, 236/965?

Answer: LCM of Numerators as per given numbers 728/48, 172/27, 236/965 is

LCM of Numerators i.e. for 728,172,236 is 1846936

GCF of denominators i.e. for 48,27,965 is 1.

Thus, LCM of Fractions is 1846936.Finally, LCM of Fractions for 728/48, 172/27, 236/965 is 1846936.