Least Common Multiple of 31/877, 22/849, 308/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/877, 22/849, 308/591 quickly i.e. 9548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/877, 22/849, 308/591 is 9548.

LCM(31/877, 22/849, 308/591) = 9548

LCM of 31/877, 22/849, 308/591

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 31/877,22/849,308/591

Given numbers are 31/877,22/849,308/591

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 31,22,308

Least Common Multiple of Numerators i.e. LCM of 31,22,308 is 9548.

GCF of Denominators means GCF of 877,849,591 as per the given fractions.

GCF of 877,849,591 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,22,308

LCM of Fractions 31/877,22/849,308/591 is 9548

2 31, 22, 308
11 31, 11, 154
31, 1, 14

∴ So the LCM of the given numbers is 2 x 11 x 31 x 1 x 14 = 9548

Least Common Multiple of 31,22,308 with GCF Formula

Least Common Multiple of 31,22,308 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 31,22,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,22,308) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(31,22,308) x common factors =1 x 22 = 22

LCM(31,22,308) = ( 31 × 22 × 308 ) / 22

LCM(31,22,308) = 210056 / 22

LCM(31,22,308) = 9548


Lets's calculate GCF of 877,849,591

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9548/1

Therefore the LCM of Fractions 31/877,22/849,308/591 is 9548

Greatest Common Factor of 877,849,591 By Matching Biggest Common Factor Method

Greatest Common Factor of 877,849,591 By Matching Biggest Common Factor Method

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors 877,849,591 . The biggest common factor number is the GCF number.
So the greatest common factor 877,849,591 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 31/877, 22/849, 308/591

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 31/877, 22/849, 308/591?

Answer: LCM of Numerators as per given numbers 31/877, 22/849, 308/591 is

LCM of Numerators i.e. for 31,22,308 is 9548

GCF of denominators i.e. for 877,849,591 is 1.

Thus, LCM of Fractions is 9548.Finally, LCM of Fractions for 31/877, 22/849, 308/591 is 9548.