Least Common Multiple of 2640/346, 2241/4742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2640/346, 2241/4742 quickly i.e. 986040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2640/346, 2241/4742 is 986040.

LCM(2640/346, 2241/4742) = 986040

LCM of 2640/346, 2241/4742

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 2640/346,2241/4742

Given numbers are 2640/346,2241/4742

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 2640,2241

Least Common Multiple of Numerators i.e. LCM of 2640,2241 is 1972080.

GCF of Denominators means GCF of 346,4742 as per the given fractions.

GCF of 346,4742 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2640,2241

LCM of Fractions 2640/346,2241/4742 is 986040

3 2640, 2241
880, 747

∴ So the LCM of the given numbers is 3 x 880 x 747 = 1972080

Least Common Multiple of 2640,2241 with GCF Formula

Least Common Multiple of 2640,2241 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 2640,2241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2640,2241) = 3

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

GCF(2640,2241) x common factors =3 x 1 = 3

LCM(2640,2241) = ( 2640 × 2241 ) / 3

LCM(2640,2241) = 5916240 / 3

LCM(2640,2241) = 1972080


Lets's calculate GCF of 346,4742

2 346, 4742
173, 2371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1972080/2

Therefore the LCM of Fractions 2640/346,2241/4742 is 986040

Greatest Common Factor of 346,4742 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,4742 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 4742

List of positive integer factors of 4742 that divides 4742 without a remainder.

1,2,2371,4742

Greatest Common Factor

We found the factors 346,4742 . The biggest common factor number is the GCF number.
So the greatest common factor 346,4742 is 2.


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 2640/346, 2241/4742

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 2640/346, 2241/4742?

Answer: LCM of Numerators as per given numbers 2640/346, 2241/4742 is

LCM of Numerators i.e. for 2640,2241 is 1972080

GCF of denominators i.e. for 346,4742 is 2.

Thus, LCM of Fractions is 986040.Finally, LCM of Fractions for 2640/346, 2241/4742 is 986040.