Least Common Multiple of 931/76, 253/30, 533/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 931/76, 253/30, 533/368 quickly i.e. 125544419/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 931/76, 253/30, 533/368 is 125544419/2.

LCM(931/76, 253/30, 533/368) = 125544419/2

LCM of 931/76, 253/30, 533/368

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 931/76,253/30,533/368

Given numbers are 931/76,253/30,533/368

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 931,253,533

Least Common Multiple of Numerators i.e. LCM of 931,253,533 is 125544419.

GCF of Denominators means GCF of 76,30,368 as per the given fractions.

GCF of 76,30,368 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 931,253,533

LCM of Fractions 931/76,253/30,533/368 is 125544419/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 125544419

Least Common Multiple of 931,253,533 with GCF Formula

Least Common Multiple of 931,253,533 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 931,253,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,253,533) = 1

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

GCF(931,253,533) x common factors =1 x 1 = 1

LCM(931,253,533) = ( 931 × 253 × 533 ) / 1

LCM(931,253,533) = 125544419 / 1

LCM(931,253,533) = 125544419


Lets's calculate GCF of 76,30,368

2 76, 30, 368
38, 15, 184

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125544419/2

Therefore the LCM of Fractions 931/76,253/30,533/368 is 125544419/2

Greatest Common Factor of 76,30,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,30,368 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 76,30,368 . The biggest common factor number is the GCF number.
So the greatest common factor 76,30,368 is 2.


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 931/76, 253/30, 533/368

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 931/76, 253/30, 533/368?

Answer: LCM of Numerators as per given numbers 931/76, 253/30, 533/368 is

LCM of Numerators i.e. for 931,253,533 is 125544419

GCF of denominators i.e. for 76,30,368 is 2.

Thus, LCM of Fractions is 125544419/2.Finally, LCM of Fractions for 931/76, 253/30, 533/368 is 125544419/2.