Least Common Multiple of 31/28, 41/450, 496/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/28, 41/450, 496/868 quickly i.e. 10168 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, 41/450, 496/868 is 10168.

LCM(31/28, 41/450, 496/868) = 10168

LCM of 31/28, 41/450, 496/868

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 31/28,41/450,496/868

Given numbers are 31/28,41/450,496/868

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 31,41,496

Least Common Multiple of Numerators i.e. LCM of 31,41,496 is 20336.

GCF of Denominators means GCF of 28,450,868 as per the given fractions.

GCF of 28,450,868 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,41,496

LCM of Fractions 31/28,41/450,496/868 is 10168

31 31, 41, 496
1, 41, 16

∴ So the LCM of the given numbers is 31 x 1 x 41 x 16 = 20336

Least Common Multiple of 31,41,496 with GCF Formula

Least Common Multiple of 31,41,496 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 31,41,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,41,496) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(31,41,496) x common factors =1 x 31 = 31

LCM(31,41,496) = ( 31 × 41 × 496 ) / 31

LCM(31,41,496) = 630416 / 31

LCM(31,41,496) = 20336


Lets's calculate GCF of 28,450,868

2 28, 450, 868
14, 225, 434

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20336/2

Therefore the LCM of Fractions 31/28,41/450,496/868 is 10168

Greatest Common Factor of 28,450,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,450,868 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 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 28,450,868 . The biggest common factor number is the GCF number.
So the greatest common factor 28,450,868 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, 41/450, 496/868

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, 41/450, 496/868?

Answer: LCM of Numerators as per given numbers 31/28, 41/450, 496/868 is

LCM of Numerators i.e. for 31,41,496 is 20336

GCF of denominators i.e. for 28,450,868 is 2.

Thus, LCM of Fractions is 10168.Finally, LCM of Fractions for 31/28, 41/450, 496/868 is 10168.