Least Common Multiple of 99/12, 64/337, 232/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 99/12, 64/337, 232/180 quickly i.e. 183744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/12, 64/337, 232/180 is 183744.

LCM(99/12, 64/337, 232/180) = 183744

LCM of 99/12, 64/337, 232/180

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 99/12,64/337,232/180

Given numbers are 99/12,64/337,232/180

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 99,64,232

Least Common Multiple of Numerators i.e. LCM of 99,64,232 is 183744.

GCF of Denominators means GCF of 12,337,180 as per the given fractions.

GCF of 12,337,180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,64,232

LCM of Fractions 99/12,64/337,232/180 is 183744

2 99, 64, 232
2 99, 32, 116
2 99, 16, 58
99, 8, 29

∴ So the LCM of the given numbers is 2 x 2 x 2 x 99 x 8 x 29 = 183744

Least Common Multiple of 99,64,232 with GCF Formula

Least Common Multiple of 99,64,232 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 99,64,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,64,232) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(99,64,232) x common factors =1 x 8 = 8

LCM(99,64,232) = ( 99 × 64 × 232 ) / 8

LCM(99,64,232) = 1469952 / 8

LCM(99,64,232) = 183744


Lets's calculate GCF of 12,337,180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183744/1

Therefore the LCM of Fractions 99/12,64/337,232/180 is 183744

Greatest Common Factor of 12,337,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,337,180 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 337

List of positive integer factors of 337 that divides 337 without a remainder.

1,337

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 12,337,180 . The biggest common factor number is the GCF number.
So the greatest common factor 12,337,180 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 99/12, 64/337, 232/180

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 99/12, 64/337, 232/180?

Answer: LCM of Numerators as per given numbers 99/12, 64/337, 232/180 is

LCM of Numerators i.e. for 99,64,232 is 183744

GCF of denominators i.e. for 12,337,180 is 1.

Thus, LCM of Fractions is 183744.Finally, LCM of Fractions for 99/12, 64/337, 232/180 is 183744.