Least Common Multiple of 40/288, 3172/3922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/288, 3172/3922 quickly i.e. 15860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/288, 3172/3922 is 15860.

LCM(40/288, 3172/3922) = 15860

LCM of 40/288, 3172/3922

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 40/288,3172/3922

Given numbers are 40/288,3172/3922

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 40,3172

Least Common Multiple of Numerators i.e. LCM of 40,3172 is 31720.

GCF of Denominators means GCF of 288,3922 as per the given fractions.

GCF of 288,3922 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,3172

LCM of Fractions 40/288,3172/3922 is 15860

2 40, 3172
2 20, 1586
10, 793

∴ So the LCM of the given numbers is 2 x 2 x 10 x 793 = 31720

Least Common Multiple of 40,3172 with GCF Formula

Least Common Multiple of 40,3172 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 40,3172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,3172) = 4

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

GCF(40,3172) x common factors =4 x 1 = 4

LCM(40,3172) = ( 40 × 3172 ) / 4

LCM(40,3172) = 126880 / 4

LCM(40,3172) = 31720


Lets's calculate GCF of 288,3922

2 288, 3922
144, 1961

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31720/2

Therefore the LCM of Fractions 40/288,3172/3922 is 15860

Greatest Common Factor of 288,3922 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,3922 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 3922

List of positive integer factors of 3922 that divides 3922 without a remainder.

1,2,37,53,74,106,1961,3922

Greatest Common Factor

We found the factors 288,3922 . The biggest common factor number is the GCF number.
So the greatest common factor 288,3922 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 40/288, 3172/3922

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 40/288, 3172/3922?

Answer: LCM of Numerators as per given numbers 40/288, 3172/3922 is

LCM of Numerators i.e. for 40,3172 is 31720

GCF of denominators i.e. for 288,3922 is 2.

Thus, LCM of Fractions is 15860.Finally, LCM of Fractions for 40/288, 3172/3922 is 15860.