Least Common Multiple of 222/108, 2752/7789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 222/108, 2752/7789 quickly i.e. 305472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 222/108, 2752/7789 is 305472.

LCM(222/108, 2752/7789) = 305472

LCM of 222/108, 2752/7789

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 222/108,2752/7789

Given numbers are 222/108,2752/7789

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 222,2752

Least Common Multiple of Numerators i.e. LCM of 222,2752 is 305472.

GCF of Denominators means GCF of 108,7789 as per the given fractions.

GCF of 108,7789 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 222,2752

LCM of Fractions 222/108,2752/7789 is 305472

2 222, 2752
111, 1376

∴ So the LCM of the given numbers is 2 x 111 x 1376 = 305472

Least Common Multiple of 222,2752 with GCF Formula

Least Common Multiple of 222,2752 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 222,2752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,2752) = 2

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

GCF(222,2752) x common factors =2 x 1 = 2

LCM(222,2752) = ( 222 × 2752 ) / 2

LCM(222,2752) = 610944 / 2

LCM(222,2752) = 305472


Lets's calculate GCF of 108,7789

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305472/1

Therefore the LCM of Fractions 222/108,2752/7789 is 305472

Greatest Common Factor of 108,7789 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,7789 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 7789

List of positive integer factors of 7789 that divides 7789 without a remainder.

1,7789

Greatest Common Factor

We found the factors 108,7789 . The biggest common factor number is the GCF number.
So the greatest common factor 108,7789 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 222/108, 2752/7789

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 222/108, 2752/7789?

Answer: LCM of Numerators as per given numbers 222/108, 2752/7789 is

LCM of Numerators i.e. for 222,2752 is 305472

GCF of denominators i.e. for 108,7789 is 1.

Thus, LCM of Fractions is 305472.Finally, LCM of Fractions for 222/108, 2752/7789 is 305472.