Least Common Multiple of 75/168, 8856/2809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/168, 8856/2809 quickly i.e. 221400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/168, 8856/2809 is 221400.

LCM(75/168, 8856/2809) = 221400

LCM of 75/168, 8856/2809

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 75/168,8856/2809

Given numbers are 75/168,8856/2809

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 75,8856

Least Common Multiple of Numerators i.e. LCM of 75,8856 is 221400.

GCF of Denominators means GCF of 168,2809 as per the given fractions.

GCF of 168,2809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,8856

LCM of Fractions 75/168,8856/2809 is 221400

3 75, 8856
25, 2952

∴ So the LCM of the given numbers is 3 x 25 x 2952 = 221400

Least Common Multiple of 75,8856 with GCF Formula

Least Common Multiple of 75,8856 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 75,8856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,8856) = 3

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

GCF(75,8856) x common factors =3 x 1 = 3

LCM(75,8856) = ( 75 × 8856 ) / 3

LCM(75,8856) = 664200 / 3

LCM(75,8856) = 221400


Lets's calculate GCF of 168,2809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 221400/1

Therefore the LCM of Fractions 75/168,8856/2809 is 221400

Greatest Common Factor of 168,2809 By Matching Biggest Common Factor Method

Greatest Common Factor of 168,2809 By Matching Biggest Common Factor Method

Factors of 168

List of positive integer factors of 168 that divides 168 without a remainder.

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Factors of 2809

List of positive integer factors of 2809 that divides 2809 without a remainder.

1,53,2809

Greatest Common Factor

We found the factors 168,2809 . The biggest common factor number is the GCF number.
So the greatest common factor 168,2809 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 75/168, 8856/2809

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 75/168, 8856/2809?

Answer: LCM of Numerators as per given numbers 75/168, 8856/2809 is

LCM of Numerators i.e. for 75,8856 is 221400

GCF of denominators i.e. for 168,2809 is 1.

Thus, LCM of Fractions is 221400.Finally, LCM of Fractions for 75/168, 8856/2809 is 221400.