Least Common Multiple of 31/250, 301/472, 965/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/250, 301/472, 965/333 quickly i.e. 9004415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/250, 301/472, 965/333 is 9004415.

LCM(31/250, 301/472, 965/333) = 9004415

LCM of 31/250, 301/472, 965/333

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 31/250,301/472,965/333

Given numbers are 31/250,301/472,965/333

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 31,301,965

Least Common Multiple of Numerators i.e. LCM of 31,301,965 is 9004415.

GCF of Denominators means GCF of 250,472,333 as per the given fractions.

GCF of 250,472,333 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,301,965

LCM of Fractions 31/250,301/472,965/333 is 9004415

Given numbers has no common factors except 1. So, there LCM is their product i.e 9004415

Least Common Multiple of 31,301,965 with GCF Formula

Least Common Multiple of 31,301,965 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 31,301,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,301,965) = 1

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

GCF(31,301,965) x common factors =1 x 1 = 1

LCM(31,301,965) = ( 31 × 301 × 965 ) / 1

LCM(31,301,965) = 9004415 / 1

LCM(31,301,965) = 9004415


Lets's calculate GCF of 250,472,333

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9004415/1

Therefore the LCM of Fractions 31/250,301/472,965/333 is 9004415

Greatest Common Factor of 250,472,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,472,333 By Matching Biggest Common Factor Method

Factors of 250

List of positive integer factors of 250 that divides 250 without a remainder.

1,2,5,10,25,50,125,250

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 250,472,333 . The biggest common factor number is the GCF number.
So the greatest common factor 250,472,333 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 31/250, 301/472, 965/333

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 31/250, 301/472, 965/333?

Answer: LCM of Numerators as per given numbers 31/250, 301/472, 965/333 is

LCM of Numerators i.e. for 31,301,965 is 9004415

GCF of denominators i.e. for 250,472,333 is 1.

Thus, LCM of Fractions is 9004415.Finally, LCM of Fractions for 31/250, 301/472, 965/333 is 9004415.