Least Common Multiple of 36/45, 14/75, 71/41, 57/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/45, 14/75, 71/41, 57/908 quickly i.e. 339948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/45, 14/75, 71/41, 57/908 is 339948.

LCM(36/45, 14/75, 71/41, 57/908) = 339948

LCM of 36/45, 14/75, 71/41, 57/908

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 36/45,14/75,71/41,57/908

Given numbers are 36/45,14/75,71/41,57/908

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 36,14,71,57

Least Common Multiple of Numerators i.e. LCM of 36,14,71,57 is 339948.

GCF of Denominators means GCF of 45,75,41,908 as per the given fractions.

GCF of 45,75,41,908 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,14,71,57

LCM of Fractions 36/45,14/75,71/41,57/908 is 339948

2 36, 14, 71, 57
3 18, 7, 71, 57
6, 7, 71, 19

∴ So the LCM of the given numbers is 2 x 3 x 6 x 7 x 71 x 19 = 339948

Least Common Multiple of 36,14,71,57 with GCF Formula

Least Common Multiple of 36,14,71,57 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 36,14,71,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,14,71,57) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(36,14,71,57) x common factors =1 x 6 = 6

LCM(36,14,71,57) = ( 36 × 14 × 71 × 57 ) / 6

LCM(36,14,71,57) = 2039688 / 6

LCM(36,14,71,57) = 339948


Lets's calculate GCF of 45,75,41,908

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 339948/1

Therefore the LCM of Fractions 36/45,14/75,71/41,57/908 is 339948

Greatest Common Factor of 45,75,41,908 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,75,41,908 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 75

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

1,3,5,15,25,75

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 908

List of positive integer factors of 908 that divides 908 without a remainder.

1,2,4,227,454,908

Greatest Common Factor

We found the factors 45,75,41,908 . The biggest common factor number is the GCF number.
So the greatest common factor 45,75,41,908 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 36/45, 14/75, 71/41, 57/908

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 36/45, 14/75, 71/41, 57/908?

Answer: LCM of Numerators as per given numbers 36/45, 14/75, 71/41, 57/908 is

LCM of Numerators i.e. for 36,14,71,57 is 339948

GCF of denominators i.e. for 45,75,41,908 is 1.

Thus, LCM of Fractions is 339948.Finally, LCM of Fractions for 36/45, 14/75, 71/41, 57/908 is 339948.