Least Common Multiple of 16/66, 73/329, 180/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 16/66, 73/329, 180/432 quickly i.e. 52560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/66, 73/329, 180/432 is 52560.

LCM(16/66, 73/329, 180/432) = 52560

LCM of 16/66, 73/329, 180/432

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 16/66,73/329,180/432

Given numbers are 16/66,73/329,180/432

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 16,73,180

Least Common Multiple of Numerators i.e. LCM of 16,73,180 is 52560.

GCF of Denominators means GCF of 66,329,432 as per the given fractions.

GCF of 66,329,432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,73,180

LCM of Fractions 16/66,73/329,180/432 is 52560

2 16, 73, 180
2 8, 73, 90
4, 73, 45

∴ So the LCM of the given numbers is 2 x 2 x 4 x 73 x 45 = 52560

Least Common Multiple of 16,73,180 with GCF Formula

Least Common Multiple of 16,73,180 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 16,73,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,73,180) = 1

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

GCF(16,73,180) x common factors =1 x 4 = 4

LCM(16,73,180) = ( 16 × 73 × 180 ) / 4

LCM(16,73,180) = 210240 / 4

LCM(16,73,180) = 52560


Lets's calculate GCF of 66,329,432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52560/1

Therefore the LCM of Fractions 16/66,73/329,180/432 is 52560

Greatest Common Factor of 66,329,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,329,432 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 66,329,432 . The biggest common factor number is the GCF number.
So the greatest common factor 66,329,432 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 16/66, 73/329, 180/432

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 16/66, 73/329, 180/432?

Answer: LCM of Numerators as per given numbers 16/66, 73/329, 180/432 is

LCM of Numerators i.e. for 16,73,180 is 52560

GCF of denominators i.e. for 66,329,432 is 1.

Thus, LCM of Fractions is 52560.Finally, LCM of Fractions for 16/66, 73/329, 180/432 is 52560.