Least Common Multiple of 728/57, 388/88, 931/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/57, 388/88, 931/119 quickly i.e. 9391928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/57, 388/88, 931/119 is 9391928.

LCM(728/57, 388/88, 931/119) = 9391928

LCM of 728/57, 388/88, 931/119

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 728/57,388/88,931/119

Given numbers are 728/57,388/88,931/119

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 728,388,931

Least Common Multiple of Numerators i.e. LCM of 728,388,931 is 9391928.

GCF of Denominators means GCF of 57,88,119 as per the given fractions.

GCF of 57,88,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,388,931

LCM of Fractions 728/57,388/88,931/119 is 9391928

2 728, 388, 931
2 364, 194, 931
7 182, 97, 931
26, 97, 133

∴ So the LCM of the given numbers is 2 x 2 x 7 x 26 x 97 x 133 = 9391928

Least Common Multiple of 728,388,931 with GCF Formula

Least Common Multiple of 728,388,931 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 728,388,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,388,931) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(728,388,931) x common factors =1 x 28 = 28

LCM(728,388,931) = ( 728 × 388 × 931 ) / 28

LCM(728,388,931) = 262973984 / 28

LCM(728,388,931) = 9391928


Lets's calculate GCF of 57,88,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9391928/1

Therefore the LCM of Fractions 728/57,388/88,931/119 is 9391928

Greatest Common Factor of 57,88,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,88,119 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 57,88,119 . The biggest common factor number is the GCF number.
So the greatest common factor 57,88,119 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 728/57, 388/88, 931/119

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 728/57, 388/88, 931/119?

Answer: LCM of Numerators as per given numbers 728/57, 388/88, 931/119 is

LCM of Numerators i.e. for 728,388,931 is 9391928

GCF of denominators i.e. for 57,88,119 is 1.

Thus, LCM of Fractions is 9391928.Finally, LCM of Fractions for 728/57, 388/88, 931/119 is 9391928.