Least Common Multiple of 16/42, 29/87, 71/75, 93/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/42, 29/87, 71/75, 93/123 quickly i.e. 1021264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/42, 29/87, 71/75, 93/123 is 1021264.

LCM(16/42, 29/87, 71/75, 93/123) = 1021264

LCM of 16/42, 29/87, 71/75, 93/123

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 16/42,29/87,71/75,93/123

Given numbers are 16/42,29/87,71/75,93/123

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 16,29,71,93

Least Common Multiple of Numerators i.e. LCM of 16,29,71,93 is 3063792.

GCF of Denominators means GCF of 42,87,75,123 as per the given fractions.

GCF of 42,87,75,123 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,29,71,93

LCM of Fractions 16/42,29/87,71/75,93/123 is 1021264

Given numbers has no common factors except 1. So, there LCM is their product i.e 3063792

Least Common Multiple of 16,29,71,93 with GCF Formula

Least Common Multiple of 16,29,71,93 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 16,29,71,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,29,71,93) = 1

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

GCF(16,29,71,93) x common factors =1 x 1 = 1

LCM(16,29,71,93) = ( 16 × 29 × 71 × 93 ) / 1

LCM(16,29,71,93) = 3063792 / 1

LCM(16,29,71,93) = 3063792


Lets's calculate GCF of 42,87,75,123

3 42, 87, 75, 123
14, 29, 25, 41

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3063792/3

Therefore the LCM of Fractions 16/42,29/87,71/75,93/123 is 1021264

Greatest Common Factor of 42,87,75,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,87,75,123 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 42,87,75,123 . The biggest common factor number is the GCF number.
So the greatest common factor 42,87,75,123 is 3.


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 16/42, 29/87, 71/75, 93/123

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 16/42, 29/87, 71/75, 93/123?

Answer: LCM of Numerators as per given numbers 16/42, 29/87, 71/75, 93/123 is

LCM of Numerators i.e. for 16,29,71,93 is 3063792

GCF of denominators i.e. for 42,87,75,123 is 3.

Thus, LCM of Fractions is 1021264.Finally, LCM of Fractions for 16/42, 29/87, 71/75, 93/123 is 1021264.