Least Common Multiple of 15/44, 40/25, 46/20, 30/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/44, 40/25, 46/20, 30/240 quickly i.e. 2760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/44, 40/25, 46/20, 30/240 is 2760.

LCM(15/44, 40/25, 46/20, 30/240) = 2760

LCM of 15/44, 40/25, 46/20, 30/240

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 15/44,40/25,46/20,30/240

Given numbers are 15/44,40/25,46/20,30/240

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 15,40,46,30

Least Common Multiple of Numerators i.e. LCM of 15,40,46,30 is 2760.

GCF of Denominators means GCF of 44,25,20,240 as per the given fractions.

GCF of 44,25,20,240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,40,46,30

LCM of Fractions 15/44,40/25,46/20,30/240 is 2760

2 15, 40, 46, 30
3 15, 20, 23, 15
5 5, 20, 23, 5
1, 4, 23, 1

∴ So the LCM of the given numbers is 2 x 3 x 5 x 1 x 4 x 23 x 1 = 2760

Least Common Multiple of 15,40,46,30 with GCF Formula

Least Common Multiple of 15,40,46,30 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 15,40,46,30 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,40,46,30) = 1

common factors(in case of two or more numbers have common factors) = 300

GCF(15,40,46,30) x common factors =1 x 300 = 300

LCM(15,40,46,30) = ( 15 × 40 × 46 × 30 ) / 300

LCM(15,40,46,30) = 828000 / 300

LCM(15,40,46,30) = 2760


Lets's calculate GCF of 44,25,20,240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2760/1

Therefore the LCM of Fractions 15/44,40/25,46/20,30/240 is 2760

Greatest Common Factor of 44,25,20,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,25,20,240 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 44,25,20,240 . The biggest common factor number is the GCF number.
So the greatest common factor 44,25,20,240 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 15/44, 40/25, 46/20, 30/240

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 15/44, 40/25, 46/20, 30/240?

Answer: LCM of Numerators as per given numbers 15/44, 40/25, 46/20, 30/240 is

LCM of Numerators i.e. for 15,40,46,30 is 2760

GCF of denominators i.e. for 44,25,20,240 is 1.

Thus, LCM of Fractions is 2760.Finally, LCM of Fractions for 15/44, 40/25, 46/20, 30/240 is 2760.