Least Common Multiple of 36/41, 37/29, 28/35, 94/507

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/41, 37/29, 28/35, 94/507 quickly i.e. 438228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/41, 37/29, 28/35, 94/507 is 438228.

LCM(36/41, 37/29, 28/35, 94/507) = 438228

LCM of 36/41, 37/29, 28/35, 94/507

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 36/41,37/29,28/35,94/507

Given numbers are 36/41,37/29,28/35,94/507

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 36,37,28,94

Least Common Multiple of Numerators i.e. LCM of 36,37,28,94 is 438228.

GCF of Denominators means GCF of 41,29,35,507 as per the given fractions.

GCF of 41,29,35,507 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,37,28,94

LCM of Fractions 36/41,37/29,28/35,94/507 is 438228

2 36, 37, 28, 94
2 18, 37, 14, 47
9, 37, 7, 47

∴ So the LCM of the given numbers is 2 x 2 x 9 x 37 x 7 x 47 = 438228

Least Common Multiple of 36,37,28,94 with GCF Formula

Least Common Multiple of 36,37,28,94 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 36,37,28,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,37,28,94) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(36,37,28,94) x common factors =1 x 8 = 8

LCM(36,37,28,94) = ( 36 × 37 × 28 × 94 ) / 8

LCM(36,37,28,94) = 3505824 / 8

LCM(36,37,28,94) = 438228


Lets's calculate GCF of 41,29,35,507

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 438228/1

Therefore the LCM of Fractions 36/41,37/29,28/35,94/507 is 438228

Greatest Common Factor of 41,29,35,507 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,29,35,507 By Matching Biggest Common Factor Method

Factors of 41

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

1,41

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Greatest Common Factor

We found the factors 41,29,35,507 . The biggest common factor number is the GCF number.
So the greatest common factor 41,29,35,507 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 36/41, 37/29, 28/35, 94/507

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 36/41, 37/29, 28/35, 94/507?

Answer: LCM of Numerators as per given numbers 36/41, 37/29, 28/35, 94/507 is

LCM of Numerators i.e. for 36,37,28,94 is 438228

GCF of denominators i.e. for 41,29,35,507 is 1.

Thus, LCM of Fractions is 438228.Finally, LCM of Fractions for 36/41, 37/29, 28/35, 94/507 is 438228.