Least Common Multiple of 168/852, 871/148, 243/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 168/852, 871/148, 243/868 quickly i.e. 2963142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 168/852, 871/148, 243/868 is 2963142.

LCM(168/852, 871/148, 243/868) = 2963142

LCM of 168/852, 871/148, 243/868

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 168/852,871/148,243/868

Given numbers are 168/852,871/148,243/868

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 168,871,243

Least Common Multiple of Numerators i.e. LCM of 168,871,243 is 11852568.

GCF of Denominators means GCF of 852,148,868 as per the given fractions.

GCF of 852,148,868 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 168,871,243

LCM of Fractions 168/852,871/148,243/868 is 2963142

3 168, 871, 243
56, 871, 81

∴ So the LCM of the given numbers is 3 x 56 x 871 x 81 = 11852568

Least Common Multiple of 168,871,243 with GCF Formula

Least Common Multiple of 168,871,243 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 168,871,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(168,871,243) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(168,871,243) x common factors =1 x 3 = 3

LCM(168,871,243) = ( 168 × 871 × 243 ) / 3

LCM(168,871,243) = 35557704 / 3

LCM(168,871,243) = 11852568


Lets's calculate GCF of 852,148,868

2 852, 148, 868
2 426, 74, 434
213, 37, 217

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11852568/4

Therefore the LCM of Fractions 168/852,871/148,243/868 is 2963142

Greatest Common Factor of 852,148,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,148,868 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 148

List of positive integer factors of 148 that divides 148 without a remainder.

1,2,4,37,74,148

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 852,148,868 . The biggest common factor number is the GCF number.
So the greatest common factor 852,148,868 is 4.


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 168/852, 871/148, 243/868

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 168/852, 871/148, 243/868?

Answer: LCM of Numerators as per given numbers 168/852, 871/148, 243/868 is

LCM of Numerators i.e. for 168,871,243 is 11852568

GCF of denominators i.e. for 852,148,868 is 4.

Thus, LCM of Fractions is 2963142.Finally, LCM of Fractions for 168/852, 871/148, 243/868 is 2963142.