Least Common Multiple of 31/847, 81/678, 303/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/847, 81/678, 303/585 quickly i.e. 253611 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/847, 81/678, 303/585 is 253611.

LCM(31/847, 81/678, 303/585) = 253611

LCM of 31/847, 81/678, 303/585

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 31/847,81/678,303/585

Given numbers are 31/847,81/678,303/585

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 31,81,303

Least Common Multiple of Numerators i.e. LCM of 31,81,303 is 253611.

GCF of Denominators means GCF of 847,678,585 as per the given fractions.

GCF of 847,678,585 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,81,303

LCM of Fractions 31/847,81/678,303/585 is 253611

3 31, 81, 303
31, 27, 101

∴ So the LCM of the given numbers is 3 x 31 x 27 x 101 = 253611

Least Common Multiple of 31,81,303 with GCF Formula

Least Common Multiple of 31,81,303 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 31,81,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,81,303) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(31,81,303) x common factors =1 x 3 = 3

LCM(31,81,303) = ( 31 × 81 × 303 ) / 3

LCM(31,81,303) = 760833 / 3

LCM(31,81,303) = 253611


Lets's calculate GCF of 847,678,585

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 253611/1

Therefore the LCM of Fractions 31/847,81/678,303/585 is 253611

Greatest Common Factor of 847,678,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,678,585 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 847,678,585 . The biggest common factor number is the GCF number.
So the greatest common factor 847,678,585 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 31/847, 81/678, 303/585

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 31/847, 81/678, 303/585?

Answer: LCM of Numerators as per given numbers 31/847, 81/678, 303/585 is

LCM of Numerators i.e. for 31,81,303 is 253611

GCF of denominators i.e. for 847,678,585 is 1.

Thus, LCM of Fractions is 253611.Finally, LCM of Fractions for 31/847, 81/678, 303/585 is 253611.