Least Common Multiple of 87/72, 52/11, 80/32, 17/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/72, 52/11, 80/32, 17/599 quickly i.e. 1538160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/72, 52/11, 80/32, 17/599 is 1538160.

LCM(87/72, 52/11, 80/32, 17/599) = 1538160

LCM of 87/72, 52/11, 80/32, 17/599

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 87/72,52/11,80/32,17/599

Given numbers are 87/72,52/11,80/32,17/599

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 87,52,80,17

Least Common Multiple of Numerators i.e. LCM of 87,52,80,17 is 1538160.

GCF of Denominators means GCF of 72,11,32,599 as per the given fractions.

GCF of 72,11,32,599 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,52,80,17

LCM of Fractions 87/72,52/11,80/32,17/599 is 1538160

2 87, 52, 80, 17
2 87, 26, 40, 17
87, 13, 20, 17

∴ So the LCM of the given numbers is 2 x 2 x 87 x 13 x 20 x 17 = 1538160

Least Common Multiple of 87,52,80,17 with GCF Formula

Least Common Multiple of 87,52,80,17 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 87,52,80,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,52,80,17) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(87,52,80,17) x common factors =1 x 4 = 4

LCM(87,52,80,17) = ( 87 × 52 × 80 × 17 ) / 4

LCM(87,52,80,17) = 6152640 / 4

LCM(87,52,80,17) = 1538160


Lets's calculate GCF of 72,11,32,599

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1538160/1

Therefore the LCM of Fractions 87/72,52/11,80/32,17/599 is 1538160

Greatest Common Factor of 72,11,32,599 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,11,32,599 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 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors 72,11,32,599 . The biggest common factor number is the GCF number.
So the greatest common factor 72,11,32,599 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 87/72, 52/11, 80/32, 17/599

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 87/72, 52/11, 80/32, 17/599?

Answer: LCM of Numerators as per given numbers 87/72, 52/11, 80/32, 17/599 is

LCM of Numerators i.e. for 87,52,80,17 is 1538160

GCF of denominators i.e. for 72,11,32,599 is 1.

Thus, LCM of Fractions is 1538160.Finally, LCM of Fractions for 87/72, 52/11, 80/32, 17/599 is 1538160.