Least Common Multiple of 40/28, 538/15, 868/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/28, 538/15, 868/465 quickly i.e. 2334920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/28, 538/15, 868/465 is 2334920.

LCM(40/28, 538/15, 868/465) = 2334920

LCM of 40/28, 538/15, 868/465

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 40/28,538/15,868/465

Given numbers are 40/28,538/15,868/465

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 40,538,868

Least Common Multiple of Numerators i.e. LCM of 40,538,868 is 2334920.

GCF of Denominators means GCF of 28,15,465 as per the given fractions.

GCF of 28,15,465 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,538,868

LCM of Fractions 40/28,538/15,868/465 is 2334920

2 40, 538, 868
2 20, 269, 434
10, 269, 217

∴ So the LCM of the given numbers is 2 x 2 x 10 x 269 x 217 = 2334920

Least Common Multiple of 40,538,868 with GCF Formula

Least Common Multiple of 40,538,868 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 40,538,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,538,868) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(40,538,868) x common factors =2 x 4 = 8

LCM(40,538,868) = ( 40 × 538 × 868 ) / 8

LCM(40,538,868) = 18679360 / 8

LCM(40,538,868) = 2334920


Lets's calculate GCF of 28,15,465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2334920/1

Therefore the LCM of Fractions 40/28,538/15,868/465 is 2334920

Greatest Common Factor of 28,15,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,15,465 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 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 28,15,465 . The biggest common factor number is the GCF number.
So the greatest common factor 28,15,465 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 40/28, 538/15, 868/465

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 40/28, 538/15, 868/465?

Answer: LCM of Numerators as per given numbers 40/28, 538/15, 868/465 is

LCM of Numerators i.e. for 40,538,868 is 2334920

GCF of denominators i.e. for 28,15,465 is 1.

Thus, LCM of Fractions is 2334920.Finally, LCM of Fractions for 40/28, 538/15, 868/465 is 2334920.