Least Common Multiple of 16/42, 78/27, 28/70, 42/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/42, 78/27, 28/70, 42/289 quickly i.e. 4368 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, 78/27, 28/70, 42/289 is 4368.

LCM(16/42, 78/27, 28/70, 42/289) = 4368

LCM of 16/42, 78/27, 28/70, 42/289

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 16/42,78/27,28/70,42/289

Given numbers are 16/42,78/27,28/70,42/289

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 16,78,28,42

Least Common Multiple of Numerators i.e. LCM of 16,78,28,42 is 4368.

GCF of Denominators means GCF of 42,27,70,289 as per the given fractions.

GCF of 42,27,70,289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,78,28,42

LCM of Fractions 16/42,78/27,28/70,42/289 is 4368

2 16, 78, 28, 42
2 8, 39, 14, 21
3 4, 39, 7, 21
7 4, 13, 7, 7
4, 13, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 4 x 13 x 1 x 1 = 4368

Least Common Multiple of 16,78,28,42 with GCF Formula

Least Common Multiple of 16,78,28,42 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 16,78,28,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,78,28,42) = 2

common factors(in case of two or more numbers have common factors) = 168

GCF(16,78,28,42) x common factors =2 x 168 = 336

LCM(16,78,28,42) = ( 16 × 78 × 28 × 42 ) / 336

LCM(16,78,28,42) = 1467648 / 336

LCM(16,78,28,42) = 4368


Lets's calculate GCF of 42,27,70,289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4368/1

Therefore the LCM of Fractions 16/42,78/27,28/70,42/289 is 4368

Greatest Common Factor of 42,27,70,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,27,70,289 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 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 42,27,70,289 . The biggest common factor number is the GCF number.
So the greatest common factor 42,27,70,289 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 16/42, 78/27, 28/70, 42/289

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, 78/27, 28/70, 42/289?

Answer: LCM of Numerators as per given numbers 16/42, 78/27, 28/70, 42/289 is

LCM of Numerators i.e. for 16,78,28,42 is 4368

GCF of denominators i.e. for 42,27,70,289 is 1.

Thus, LCM of Fractions is 4368.Finally, LCM of Fractions for 16/42, 78/27, 28/70, 42/289 is 4368.