Least Common Multiple of 16/73, 92/22, 62/23, 36/278

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/73, 92/22, 62/23, 36/278 quickly i.e. 102672 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/73, 92/22, 62/23, 36/278 is 102672.

LCM(16/73, 92/22, 62/23, 36/278) = 102672

LCM of 16/73, 92/22, 62/23, 36/278

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 16/73,92/22,62/23,36/278

Given numbers are 16/73,92/22,62/23,36/278

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 16,92,62,36

Least Common Multiple of Numerators i.e. LCM of 16,92,62,36 is 102672.

GCF of Denominators means GCF of 73,22,23,278 as per the given fractions.

GCF of 73,22,23,278 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,92,62,36

LCM of Fractions 16/73,92/22,62/23,36/278 is 102672

2 16, 92, 62, 36
2 8, 46, 31, 18
4, 23, 31, 9

∴ So the LCM of the given numbers is 2 x 2 x 4 x 23 x 31 x 9 = 102672

Least Common Multiple of 16,92,62,36 with GCF Formula

Least Common Multiple of 16,92,62,36 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 16,92,62,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,92,62,36) = 2

common factors(in case of two or more numbers have common factors) = 16

GCF(16,92,62,36) x common factors =2 x 16 = 32

LCM(16,92,62,36) = ( 16 × 92 × 62 × 36 ) / 32

LCM(16,92,62,36) = 3285504 / 32

LCM(16,92,62,36) = 102672


Lets's calculate GCF of 73,22,23,278

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102672/1

Therefore the LCM of Fractions 16/73,92/22,62/23,36/278 is 102672

Greatest Common Factor of 73,22,23,278 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,22,23,278 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Greatest Common Factor

We found the factors 73,22,23,278 . The biggest common factor number is the GCF number.
So the greatest common factor 73,22,23,278 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 16/73, 92/22, 62/23, 36/278

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 16/73, 92/22, 62/23, 36/278?

Answer: LCM of Numerators as per given numbers 16/73, 92/22, 62/23, 36/278 is

LCM of Numerators i.e. for 16,92,62,36 is 102672

GCF of denominators i.e. for 73,22,23,278 is 1.

Thus, LCM of Fractions is 102672.Finally, LCM of Fractions for 16/73, 92/22, 62/23, 36/278 is 102672.