Least Common Multiple of 84/159, 48/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/159, 48/816 quickly i.e. 112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/159, 48/816 is 112.

LCM(84/159, 48/816) = 112

LCM of 84/159, 48/816

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 84/159,48/816

Given numbers are 84/159,48/816

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 84,48

Least Common Multiple of Numerators i.e. LCM of 84,48 is 336.

GCF of Denominators means GCF of 159,816 as per the given fractions.

GCF of 159,816 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,48

LCM of Fractions 84/159,48/816 is 112

2 84, 48
2 42, 24
3 21, 12
7, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 4 = 336

Least Common Multiple of 84,48 with GCF Formula

Least Common Multiple of 84,48 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 84,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,48) = 12

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

GCF(84,48) x common factors =12 x 1 = 12

LCM(84,48) = ( 84 × 48 ) / 12

LCM(84,48) = 4032 / 12

LCM(84,48) = 336


Lets's calculate GCF of 159,816

3 159, 816
53, 272

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336/3

Therefore the LCM of Fractions 84/159,48/816 is 112

Greatest Common Factor of 159,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,816 By Matching Biggest Common Factor Method

Factors of 159

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

1,3,53,159

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 159,816 . The biggest common factor number is the GCF number.
So the greatest common factor 159,816 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 84/159, 48/816

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 84/159, 48/816?

Answer: LCM of Numerators as per given numbers 84/159, 48/816 is

LCM of Numerators i.e. for 84,48 is 336

GCF of denominators i.e. for 159,816 is 3.

Thus, LCM of Fractions is 112.Finally, LCM of Fractions for 84/159, 48/816 is 112.