Least Common Multiple of 54/66, 16/25, 99/74, 37/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 54/66, 16/25, 99/74, 37/232 quickly i.e. 175824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/66, 16/25, 99/74, 37/232 is 175824.

LCM(54/66, 16/25, 99/74, 37/232) = 175824

LCM of 54/66, 16/25, 99/74, 37/232

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 54/66,16/25,99/74,37/232

Given numbers are 54/66,16/25,99/74,37/232

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 54,16,99,37

Least Common Multiple of Numerators i.e. LCM of 54,16,99,37 is 175824.

GCF of Denominators means GCF of 66,25,74,232 as per the given fractions.

GCF of 66,25,74,232 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,16,99,37

LCM of Fractions 54/66,16/25,99/74,37/232 is 175824

2 54, 16, 99, 37
3 27, 8, 99, 37
3 9, 8, 33, 37
3, 8, 11, 37

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 8 x 11 x 37 = 175824

Least Common Multiple of 54,16,99,37 with GCF Formula

Least Common Multiple of 54,16,99,37 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 54,16,99,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,16,99,37) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(54,16,99,37) x common factors =1 x 18 = 18

LCM(54,16,99,37) = ( 54 × 16 × 99 × 37 ) / 18

LCM(54,16,99,37) = 3164832 / 18

LCM(54,16,99,37) = 175824


Lets's calculate GCF of 66,25,74,232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175824/1

Therefore the LCM of Fractions 54/66,16/25,99/74,37/232 is 175824

Greatest Common Factor of 66,25,74,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,25,74,232 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 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 66,25,74,232 . The biggest common factor number is the GCF number.
So the greatest common factor 66,25,74,232 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 54/66, 16/25, 99/74, 37/232

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 54/66, 16/25, 99/74, 37/232?

Answer: LCM of Numerators as per given numbers 54/66, 16/25, 99/74, 37/232 is

LCM of Numerators i.e. for 54,16,99,37 is 175824

GCF of denominators i.e. for 66,25,74,232 is 1.

Thus, LCM of Fractions is 175824.Finally, LCM of Fractions for 54/66, 16/25, 99/74, 37/232 is 175824.