Least Common Multiple of 15/87, 72/920, 852/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/87, 72/920, 852/142 quickly i.e. 25560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/87, 72/920, 852/142 is 25560.

LCM(15/87, 72/920, 852/142) = 25560

LCM of 15/87, 72/920, 852/142

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 15/87,72/920,852/142

Given numbers are 15/87,72/920,852/142

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 15,72,852

Least Common Multiple of Numerators i.e. LCM of 15,72,852 is 25560.

GCF of Denominators means GCF of 87,920,142 as per the given fractions.

GCF of 87,920,142 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,72,852

LCM of Fractions 15/87,72/920,852/142 is 25560

2 15, 72, 852
2 15, 36, 426
3 15, 18, 213
5, 6, 71

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 6 x 71 = 25560

Least Common Multiple of 15,72,852 with GCF Formula

Least Common Multiple of 15,72,852 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 15,72,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,72,852) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(15,72,852) x common factors =3 x 12 = 36

LCM(15,72,852) = ( 15 × 72 × 852 ) / 36

LCM(15,72,852) = 920160 / 36

LCM(15,72,852) = 25560


Lets's calculate GCF of 87,920,142

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25560/1

Therefore the LCM of Fractions 15/87,72/920,852/142 is 25560

Greatest Common Factor of 87,920,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,920,142 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 87,920,142 . The biggest common factor number is the GCF number.
So the greatest common factor 87,920,142 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 15/87, 72/920, 852/142

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 15/87, 72/920, 852/142?

Answer: LCM of Numerators as per given numbers 15/87, 72/920, 852/142 is

LCM of Numerators i.e. for 15,72,852 is 25560

GCF of denominators i.e. for 87,920,142 is 1.

Thus, LCM of Fractions is 25560.Finally, LCM of Fractions for 15/87, 72/920, 852/142 is 25560.