Least Common Multiple of 9709/213, 9420/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9709/213, 9420/543 quickly i.e. 30486260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9709/213, 9420/543 is 30486260.

LCM(9709/213, 9420/543) = 30486260

LCM of 9709/213, 9420/543

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 9709/213,9420/543

Given numbers are 9709/213,9420/543

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 9709,9420

Least Common Multiple of Numerators i.e. LCM of 9709,9420 is 91458780.

GCF of Denominators means GCF of 213,543 as per the given fractions.

GCF of 213,543 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9709,9420

LCM of Fractions 9709/213,9420/543 is 30486260

Given numbers has no common factors except 1. So, there LCM is their product i.e 91458780

Least Common Multiple of 9709,9420 with GCF Formula

Least Common Multiple of 9709,9420 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 9709,9420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9709,9420) = 1

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

GCF(9709,9420) x common factors =1 x 1 = 1

LCM(9709,9420) = ( 9709 × 9420 ) / 1

LCM(9709,9420) = 91458780 / 1

LCM(9709,9420) = 91458780


Lets's calculate GCF of 213,543

3 213, 543
71, 181

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91458780/3

Therefore the LCM of Fractions 9709/213,9420/543 is 30486260

Greatest Common Factor of 213,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,543 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 213,543 . The biggest common factor number is the GCF number.
So the greatest common factor 213,543 is 3.


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 9709/213, 9420/543

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 9709/213, 9420/543?

Answer: LCM of Numerators as per given numbers 9709/213, 9420/543 is

LCM of Numerators i.e. for 9709,9420 is 91458780

GCF of denominators i.e. for 213,543 is 3.

Thus, LCM of Fractions is 30486260.Finally, LCM of Fractions for 9709/213, 9420/543 is 30486260.