Least Common Multiple of 31/867, 863/169, 254/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 31/867, 863/169, 254/627 quickly i.e. 6795262 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/867, 863/169, 254/627 is 6795262.

LCM(31/867, 863/169, 254/627) = 6795262

LCM of 31/867, 863/169, 254/627

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 31/867,863/169,254/627

Given numbers are 31/867,863/169,254/627

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 31,863,254

Least Common Multiple of Numerators i.e. LCM of 31,863,254 is 6795262.

GCF of Denominators means GCF of 867,169,627 as per the given fractions.

GCF of 867,169,627 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,863,254

LCM of Fractions 31/867,863/169,254/627 is 6795262

Given numbers has no common factors except 1. So, there LCM is their product i.e 6795262

Least Common Multiple of 31,863,254 with GCF Formula

Least Common Multiple of 31,863,254 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 31,863,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,863,254) = 1

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

GCF(31,863,254) x common factors =1 x 1 = 1

LCM(31,863,254) = ( 31 × 863 × 254 ) / 1

LCM(31,863,254) = 6795262 / 1

LCM(31,863,254) = 6795262


Lets's calculate GCF of 867,169,627

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6795262/1

Therefore the LCM of Fractions 31/867,863/169,254/627 is 6795262

Greatest Common Factor of 867,169,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,169,627 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 867,169,627 . The biggest common factor number is the GCF number.
So the greatest common factor 867,169,627 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 31/867, 863/169, 254/627

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 31/867, 863/169, 254/627?

Answer: LCM of Numerators as per given numbers 31/867, 863/169, 254/627 is

LCM of Numerators i.e. for 31,863,254 is 6795262

GCF of denominators i.e. for 867,169,627 is 1.

Thus, LCM of Fractions is 6795262.Finally, LCM of Fractions for 31/867, 863/169, 254/627 is 6795262.