Least Common Multiple of 43/15, 46/75, 55/40, 24/895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 43/15, 46/75, 55/40, 24/895 quickly i.e. 261096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 43/15, 46/75, 55/40, 24/895 is 261096.

LCM(43/15, 46/75, 55/40, 24/895) = 261096

LCM of 43/15, 46/75, 55/40, 24/895

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 43/15,46/75,55/40,24/895

Given numbers are 43/15,46/75,55/40,24/895

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 43,46,55,24

Least Common Multiple of Numerators i.e. LCM of 43,46,55,24 is 1305480.

GCF of Denominators means GCF of 15,75,40,895 as per the given fractions.

GCF of 15,75,40,895 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 43,46,55,24

LCM of Fractions 43/15,46/75,55/40,24/895 is 261096

2 43, 46, 55, 24
43, 23, 55, 12

∴ So the LCM of the given numbers is 2 x 43 x 23 x 55 x 12 = 1305480

Least Common Multiple of 43,46,55,24 with GCF Formula

Least Common Multiple of 43,46,55,24 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 43,46,55,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,46,55,24) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(43,46,55,24) x common factors =1 x 2 = 2

LCM(43,46,55,24) = ( 43 × 46 × 55 × 24 ) / 2

LCM(43,46,55,24) = 2610960 / 2

LCM(43,46,55,24) = 1305480


Lets's calculate GCF of 15,75,40,895

5 15, 75, 40, 895
3, 15, 8, 179

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1305480/5

Therefore the LCM of Fractions 43/15,46/75,55/40,24/895 is 261096

Greatest Common Factor of 15,75,40,895 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,75,40,895 By Matching Biggest Common Factor Method

Factors of 15

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

1,3,5,15

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 895

List of positive integer factors of 895 that divides 895 without a remainder.

1,5,179,895

Greatest Common Factor

We found the factors 15,75,40,895 . The biggest common factor number is the GCF number.
So the greatest common factor 15,75,40,895 is 5.


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 43/15, 46/75, 55/40, 24/895

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 43/15, 46/75, 55/40, 24/895?

Answer: LCM of Numerators as per given numbers 43/15, 46/75, 55/40, 24/895 is

LCM of Numerators i.e. for 43,46,55,24 is 1305480

GCF of denominators i.e. for 15,75,40,895 is 5.

Thus, LCM of Fractions is 261096.Finally, LCM of Fractions for 43/15, 46/75, 55/40, 24/895 is 261096.