Least Common Multiple of 159/70, 882/1176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 159/70, 882/1176 quickly i.e. 3339 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 159/70, 882/1176 is 3339.

LCM(159/70, 882/1176) = 3339

LCM of 159/70, 882/1176

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 159/70,882/1176

Given numbers are 159/70,882/1176

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 159,882

Least Common Multiple of Numerators i.e. LCM of 159,882 is 46746.

GCF of Denominators means GCF of 70,1176 as per the given fractions.

GCF of 70,1176 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 159,882

LCM of Fractions 159/70,882/1176 is 3339

3 159, 882
53, 294

∴ So the LCM of the given numbers is 3 x 53 x 294 = 46746

Least Common Multiple of 159,882 with GCF Formula

Least Common Multiple of 159,882 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 159,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,882) = 3

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

GCF(159,882) x common factors =3 x 1 = 3

LCM(159,882) = ( 159 × 882 ) / 3

LCM(159,882) = 140238 / 3

LCM(159,882) = 46746


Lets's calculate GCF of 70,1176

2 70, 1176
7 35, 588
5, 84

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46746/14

Therefore the LCM of Fractions 159/70,882/1176 is 3339

Greatest Common Factor of 70,1176 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,1176 By Matching Biggest Common Factor Method

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 1176

List of positive integer factors of 1176 that divides 1176 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,49,56,84,98,147,168,196,294,392,588,1176

Greatest Common Factor

We found the factors 70,1176 . The biggest common factor number is the GCF number.
So the greatest common factor 70,1176 is 14.


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 159/70, 882/1176

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 159/70, 882/1176?

Answer: LCM of Numerators as per given numbers 159/70, 882/1176 is

LCM of Numerators i.e. for 159,882 is 46746

GCF of denominators i.e. for 70,1176 is 14.

Thus, LCM of Fractions is 3339.Finally, LCM of Fractions for 159/70, 882/1176 is 3339.