Least Common Multiple of 2421/711, 9036/4345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2421/711, 9036/4345 quickly i.e. 2430684/79 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2421/711, 9036/4345 is 2430684/79.

LCM(2421/711, 9036/4345) = 2430684/79

LCM of 2421/711, 9036/4345

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 2421/711,9036/4345

Given numbers are 2421/711,9036/4345

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 2421,9036

Least Common Multiple of Numerators i.e. LCM of 2421,9036 is 2430684.

GCF of Denominators means GCF of 711,4345 as per the given fractions.

GCF of 711,4345 is 79 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2421,9036

LCM of Fractions 2421/711,9036/4345 is 2430684/79

3 2421, 9036
3 807, 3012
269, 1004

∴ So the LCM of the given numbers is 3 x 3 x 269 x 1004 = 2430684

Least Common Multiple of 2421,9036 with GCF Formula

Least Common Multiple of 2421,9036 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 2421,9036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2421,9036) = 9

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

GCF(2421,9036) x common factors =9 x 1 = 9

LCM(2421,9036) = ( 2421 × 9036 ) / 9

LCM(2421,9036) = 21876156 / 9

LCM(2421,9036) = 2430684


Lets's calculate GCF of 711,4345

79 711, 4345
9, 55

∴ So the GCF of the given numbers is 79 = 79

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2430684/79

Therefore the LCM of Fractions 2421/711,9036/4345 is 2430684/79

Greatest Common Factor of 711,4345 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,4345 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 4345

List of positive integer factors of 4345 that divides 4345 without a remainder.

1,5,11,55,79,395,869,4345

Greatest Common Factor

We found the factors 711,4345 . The biggest common factor number is the GCF number.
So the greatest common factor 711,4345 is 79.


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 2421/711, 9036/4345

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 2421/711, 9036/4345?

Answer: LCM of Numerators as per given numbers 2421/711, 9036/4345 is

LCM of Numerators i.e. for 2421,9036 is 2430684

GCF of denominators i.e. for 711,4345 is 79.

Thus, LCM of Fractions is 2430684/79.Finally, LCM of Fractions for 2421/711, 9036/4345 is 2430684/79.