Least Common Multiple of 36/364, 750/232, 180/529

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/364, 750/232, 180/529 quickly i.e. 4500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/364, 750/232, 180/529 is 4500.

LCM(36/364, 750/232, 180/529) = 4500

LCM of 36/364, 750/232, 180/529

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 36/364,750/232,180/529

Given numbers are 36/364,750/232,180/529

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 36,750,180

Least Common Multiple of Numerators i.e. LCM of 36,750,180 is 4500.

GCF of Denominators means GCF of 364,232,529 as per the given fractions.

GCF of 364,232,529 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,750,180

LCM of Fractions 36/364,750/232,180/529 is 4500

2 36, 750, 180
2 18, 375, 90
3 9, 375, 45
3 3, 125, 15
5 1, 125, 5
1, 25, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 25 x 1 = 4500

Least Common Multiple of 36,750,180 with GCF Formula

Least Common Multiple of 36,750,180 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 36,750,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,750,180) = 6

common factors(in case of two or more numbers have common factors) = 180

GCF(36,750,180) x common factors =6 x 180 = 1080

LCM(36,750,180) = ( 36 × 750 × 180 ) / 1080

LCM(36,750,180) = 4860000 / 1080

LCM(36,750,180) = 4500


Lets's calculate GCF of 364,232,529

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4500/1

Therefore the LCM of Fractions 36/364,750/232,180/529 is 4500

Greatest Common Factor of 364,232,529 By Matching Biggest Common Factor Method

Greatest Common Factor of 364,232,529 By Matching Biggest Common Factor Method

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Greatest Common Factor

We found the factors 364,232,529 . The biggest common factor number is the GCF number.
So the greatest common factor 364,232,529 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 36/364, 750/232, 180/529

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 36/364, 750/232, 180/529?

Answer: LCM of Numerators as per given numbers 36/364, 750/232, 180/529 is

LCM of Numerators i.e. for 36,750,180 is 4500

GCF of denominators i.e. for 364,232,529 is 1.

Thus, LCM of Fractions is 4500.Finally, LCM of Fractions for 36/364, 750/232, 180/529 is 4500.