Least Common Multiple of 52/81, 625/41, 150/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/81, 625/41, 150/288 quickly i.e. 97500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/81, 625/41, 150/288 is 97500.

LCM(52/81, 625/41, 150/288) = 97500

LCM of 52/81, 625/41, 150/288

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 52/81,625/41,150/288

Given numbers are 52/81,625/41,150/288

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 52,625,150

Least Common Multiple of Numerators i.e. LCM of 52,625,150 is 97500.

GCF of Denominators means GCF of 81,41,288 as per the given fractions.

GCF of 81,41,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,625,150

LCM of Fractions 52/81,625/41,150/288 is 97500

2 52, 625, 150
5 26, 625, 75
5 26, 125, 15
26, 25, 3

∴ So the LCM of the given numbers is 2 x 5 x 5 x 26 x 25 x 3 = 97500

Least Common Multiple of 52,625,150 with GCF Formula

Least Common Multiple of 52,625,150 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 52,625,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,625,150) = 1

common factors(in case of two or more numbers have common factors) = 50

GCF(52,625,150) x common factors =1 x 50 = 50

LCM(52,625,150) = ( 52 × 625 × 150 ) / 50

LCM(52,625,150) = 4875000 / 50

LCM(52,625,150) = 97500


Lets's calculate GCF of 81,41,288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97500/1

Therefore the LCM of Fractions 52/81,625/41,150/288 is 97500

Greatest Common Factor of 81,41,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,41,288 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 41

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

1,41

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 81,41,288 . The biggest common factor number is the GCF number.
So the greatest common factor 81,41,288 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 52/81, 625/41, 150/288

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 52/81, 625/41, 150/288?

Answer: LCM of Numerators as per given numbers 52/81, 625/41, 150/288 is

LCM of Numerators i.e. for 52,625,150 is 97500

GCF of denominators i.e. for 81,41,288 is 1.

Thus, LCM of Fractions is 97500.Finally, LCM of Fractions for 52/81, 625/41, 150/288 is 97500.