Least Common Multiple of 31/28, 324/58, 867/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/28, 324/58, 867/726 quickly i.e. 1451358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/28, 324/58, 867/726 is 1451358.

LCM(31/28, 324/58, 867/726) = 1451358

LCM of 31/28, 324/58, 867/726

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 31/28,324/58,867/726

Given numbers are 31/28,324/58,867/726

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 31,324,867

Least Common Multiple of Numerators i.e. LCM of 31,324,867 is 2902716.

GCF of Denominators means GCF of 28,58,726 as per the given fractions.

GCF of 28,58,726 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,324,867

LCM of Fractions 31/28,324/58,867/726 is 1451358

3 31, 324, 867
31, 108, 289

∴ So the LCM of the given numbers is 3 x 31 x 108 x 289 = 2902716

Least Common Multiple of 31,324,867 with GCF Formula

Least Common Multiple of 31,324,867 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 31,324,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,324,867) = 1

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

GCF(31,324,867) x common factors =1 x 3 = 3

LCM(31,324,867) = ( 31 × 324 × 867 ) / 3

LCM(31,324,867) = 8708148 / 3

LCM(31,324,867) = 2902716


Lets's calculate GCF of 28,58,726

2 28, 58, 726
14, 29, 363

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2902716/2

Therefore the LCM of Fractions 31/28,324/58,867/726 is 1451358

Greatest Common Factor of 28,58,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,58,726 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 28,58,726 . The biggest common factor number is the GCF number.
So the greatest common factor 28,58,726 is 2.


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 31/28, 324/58, 867/726

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 31/28, 324/58, 867/726?

Answer: LCM of Numerators as per given numbers 31/28, 324/58, 867/726 is

LCM of Numerators i.e. for 31,324,867 is 2902716

GCF of denominators i.e. for 28,58,726 is 2.

Thus, LCM of Fractions is 1451358.Finally, LCM of Fractions for 31/28, 324/58, 867/726 is 1451358.