Least Common Multiple of 42/111, 16/828, 701/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/111, 16/828, 701/159 quickly i.e. 78512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/111, 16/828, 701/159 is 78512.

LCM(42/111, 16/828, 701/159) = 78512

LCM of 42/111, 16/828, 701/159

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 42/111,16/828,701/159

Given numbers are 42/111,16/828,701/159

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 42,16,701

Least Common Multiple of Numerators i.e. LCM of 42,16,701 is 235536.

GCF of Denominators means GCF of 111,828,159 as per the given fractions.

GCF of 111,828,159 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,16,701

LCM of Fractions 42/111,16/828,701/159 is 78512

2 42, 16, 701
21, 8, 701

∴ So the LCM of the given numbers is 2 x 21 x 8 x 701 = 235536

Least Common Multiple of 42,16,701 with GCF Formula

Least Common Multiple of 42,16,701 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 42,16,701 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,16,701) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(42,16,701) x common factors =1 x 2 = 2

LCM(42,16,701) = ( 42 × 16 × 701 ) / 2

LCM(42,16,701) = 471072 / 2

LCM(42,16,701) = 235536


Lets's calculate GCF of 111,828,159

3 111, 828, 159
37, 276, 53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235536/3

Therefore the LCM of Fractions 42/111,16/828,701/159 is 78512

Greatest Common Factor of 111,828,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,828,159 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Greatest Common Factor

We found the factors 111,828,159 . The biggest common factor number is the GCF number.
So the greatest common factor 111,828,159 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 42/111, 16/828, 701/159

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 42/111, 16/828, 701/159?

Answer: LCM of Numerators as per given numbers 42/111, 16/828, 701/159 is

LCM of Numerators i.e. for 42,16,701 is 235536

GCF of denominators i.e. for 111,828,159 is 3.

Thus, LCM of Fractions is 78512.Finally, LCM of Fractions for 42/111, 16/828, 701/159 is 78512.