Least Common Multiple of 152/720, 9132/1718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 152/720, 9132/1718 quickly i.e. 173508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 152/720, 9132/1718 is 173508.

LCM(152/720, 9132/1718) = 173508

LCM of 152/720, 9132/1718

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 152/720,9132/1718

Given numbers are 152/720,9132/1718

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 152,9132

Least Common Multiple of Numerators i.e. LCM of 152,9132 is 347016.

GCF of Denominators means GCF of 720,1718 as per the given fractions.

GCF of 720,1718 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 152,9132

LCM of Fractions 152/720,9132/1718 is 173508

2 152, 9132
2 76, 4566
38, 2283

∴ So the LCM of the given numbers is 2 x 2 x 38 x 2283 = 347016

Least Common Multiple of 152,9132 with GCF Formula

Least Common Multiple of 152,9132 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 152,9132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,9132) = 4

common factors(in case of two or more numbers have common factors) = 1

GCF(152,9132) x common factors =4 x 1 = 4

LCM(152,9132) = ( 152 × 9132 ) / 4

LCM(152,9132) = 1388064 / 4

LCM(152,9132) = 347016


Lets's calculate GCF of 720,1718

2 720, 1718
360, 859

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 347016/2

Therefore the LCM of Fractions 152/720,9132/1718 is 173508

Greatest Common Factor of 720,1718 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,1718 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 1718

List of positive integer factors of 1718 that divides 1718 without a remainder.

1,2,859,1718

Greatest Common Factor

We found the factors 720,1718 . The biggest common factor number is the GCF number.
So the greatest common factor 720,1718 is 2.


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 152/720, 9132/1718

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 152/720, 9132/1718?

Answer: LCM of Numerators as per given numbers 152/720, 9132/1718 is

LCM of Numerators i.e. for 152,9132 is 347016

GCF of denominators i.e. for 720,1718 is 2.

Thus, LCM of Fractions is 173508.Finally, LCM of Fractions for 152/720, 9132/1718 is 173508.