Least Common Multiple of 852/72, 265/31, 142/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/72, 265/31, 142/288 quickly i.e. 225780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/72, 265/31, 142/288 is 225780.

LCM(852/72, 265/31, 142/288) = 225780

LCM of 852/72, 265/31, 142/288

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 852/72,265/31,142/288

Given numbers are 852/72,265/31,142/288

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 852,265,142

Least Common Multiple of Numerators i.e. LCM of 852,265,142 is 225780.

GCF of Denominators means GCF of 72,31,288 as per the given fractions.

GCF of 72,31,288 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,265,142

LCM of Fractions 852/72,265/31,142/288 is 225780

2 852, 265, 142
71 426, 265, 71
6, 265, 1

∴ So the LCM of the given numbers is 2 x 71 x 6 x 265 x 1 = 225780

Least Common Multiple of 852,265,142 with GCF Formula

Least Common Multiple of 852,265,142 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 852,265,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,265,142) = 1

common factors(in case of two or more numbers have common factors) = 142

GCF(852,265,142) x common factors =1 x 142 = 142

LCM(852,265,142) = ( 852 × 265 × 142 ) / 142

LCM(852,265,142) = 32060760 / 142

LCM(852,265,142) = 225780


Lets's calculate GCF of 72,31,288

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 225780/1

Therefore the LCM of Fractions 852/72,265/31,142/288 is 225780

Greatest Common Factor of 72,31,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,31,288 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

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 72,31,288 . The biggest common factor number is the GCF number.
So the greatest common factor 72,31,288 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 852/72, 265/31, 142/288

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 852/72, 265/31, 142/288?

Answer: LCM of Numerators as per given numbers 852/72, 265/31, 142/288 is

LCM of Numerators i.e. for 852,265,142 is 225780

GCF of denominators i.e. for 72,31,288 is 1.

Thus, LCM of Fractions is 225780.Finally, LCM of Fractions for 852/72, 265/31, 142/288 is 225780.