Least Common Multiple of 31/272, 295/318, 300/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/272, 295/318, 300/111 quickly i.e. 548700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/272, 295/318, 300/111 is 548700.

LCM(31/272, 295/318, 300/111) = 548700

LCM of 31/272, 295/318, 300/111

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 31/272,295/318,300/111

Given numbers are 31/272,295/318,300/111

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 31,295,300

Least Common Multiple of Numerators i.e. LCM of 31,295,300 is 548700.

GCF of Denominators means GCF of 272,318,111 as per the given fractions.

GCF of 272,318,111 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,295,300

LCM of Fractions 31/272,295/318,300/111 is 548700

5 31, 295, 300
31, 59, 60

∴ So the LCM of the given numbers is 5 x 31 x 59 x 60 = 548700

Least Common Multiple of 31,295,300 with GCF Formula

Least Common Multiple of 31,295,300 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 31,295,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,295,300) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(31,295,300) x common factors =1 x 5 = 5

LCM(31,295,300) = ( 31 × 295 × 300 ) / 5

LCM(31,295,300) = 2743500 / 5

LCM(31,295,300) = 548700


Lets's calculate GCF of 272,318,111

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 548700/1

Therefore the LCM of Fractions 31/272,295/318,300/111 is 548700

Greatest Common Factor of 272,318,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,318,111 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 318

List of positive integer factors of 318 that divides 318 without a remainder.

1,2,3,6,53,106,159,318

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 272,318,111 . The biggest common factor number is the GCF number.
So the greatest common factor 272,318,111 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 31/272, 295/318, 300/111

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 31/272, 295/318, 300/111?

Answer: LCM of Numerators as per given numbers 31/272, 295/318, 300/111 is

LCM of Numerators i.e. for 31,295,300 is 548700

GCF of denominators i.e. for 272,318,111 is 1.

Thus, LCM of Fractions is 548700.Finally, LCM of Fractions for 31/272, 295/318, 300/111 is 548700.