Least Common Multiple of 241/222, 2796/5754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 241/222, 2796/5754 quickly i.e. 112306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 241/222, 2796/5754 is 112306.

LCM(241/222, 2796/5754) = 112306

LCM of 241/222, 2796/5754

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 241/222,2796/5754

Given numbers are 241/222,2796/5754

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 241,2796

Least Common Multiple of Numerators i.e. LCM of 241,2796 is 673836.

GCF of Denominators means GCF of 222,5754 as per the given fractions.

GCF of 222,5754 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 241,2796

LCM of Fractions 241/222,2796/5754 is 112306

Given numbers has no common factors except 1. So, there LCM is their product i.e 673836

Least Common Multiple of 241,2796 with GCF Formula

Least Common Multiple of 241,2796 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 241,2796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(241,2796) = 1

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

GCF(241,2796) x common factors =1 x 1 = 1

LCM(241,2796) = ( 241 × 2796 ) / 1

LCM(241,2796) = 673836 / 1

LCM(241,2796) = 673836


Lets's calculate GCF of 222,5754

2 222, 5754
3 111, 2877
37, 959

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 673836/6

Therefore the LCM of Fractions 241/222,2796/5754 is 112306

Greatest Common Factor of 222,5754 By Matching Biggest Common Factor Method

Greatest Common Factor of 222,5754 By Matching Biggest Common Factor Method

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Factors of 5754

List of positive integer factors of 5754 that divides 5754 without a remainder.

1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754

Greatest Common Factor

We found the factors 222,5754 . The biggest common factor number is the GCF number.
So the greatest common factor 222,5754 is 6.


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 241/222, 2796/5754

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 241/222, 2796/5754?

Answer: LCM of Numerators as per given numbers 241/222, 2796/5754 is

LCM of Numerators i.e. for 241,2796 is 673836

GCF of denominators i.e. for 222,5754 is 6.

Thus, LCM of Fractions is 112306.Finally, LCM of Fractions for 241/222, 2796/5754 is 112306.