Least Common Multiple of 317/73, 238/91, 951/375

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 317/73, 238/91, 951/375 quickly i.e. 226338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 317/73, 238/91, 951/375 is 226338.

LCM(317/73, 238/91, 951/375) = 226338

LCM of 317/73, 238/91, 951/375

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 317/73,238/91,951/375

Given numbers are 317/73,238/91,951/375

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 317,238,951

Least Common Multiple of Numerators i.e. LCM of 317,238,951 is 226338.

GCF of Denominators means GCF of 73,91,375 as per the given fractions.

GCF of 73,91,375 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 317,238,951

LCM of Fractions 317/73,238/91,951/375 is 226338

317 317, 238, 951
1, 238, 3

∴ So the LCM of the given numbers is 317 x 1 x 238 x 3 = 226338

Least Common Multiple of 317,238,951 with GCF Formula

Least Common Multiple of 317,238,951 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 317,238,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,238,951) = 1

common factors(in case of two or more numbers have common factors) = 317

GCF(317,238,951) x common factors =1 x 317 = 317

LCM(317,238,951) = ( 317 × 238 × 951 ) / 317

LCM(317,238,951) = 71749146 / 317

LCM(317,238,951) = 226338


Lets's calculate GCF of 73,91,375

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226338/1

Therefore the LCM of Fractions 317/73,238/91,951/375 is 226338

Greatest Common Factor of 73,91,375 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,91,375 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Greatest Common Factor

We found the factors 73,91,375 . The biggest common factor number is the GCF number.
So the greatest common factor 73,91,375 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 317/73, 238/91, 951/375

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 317/73, 238/91, 951/375?

Answer: LCM of Numerators as per given numbers 317/73, 238/91, 951/375 is

LCM of Numerators i.e. for 317,238,951 is 226338

GCF of denominators i.e. for 73,91,375 is 1.

Thus, LCM of Fractions is 226338.Finally, LCM of Fractions for 317/73, 238/91, 951/375 is 226338.