Least Common Multiple of 9309/546, 3260/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9309/546, 3260/423 quickly i.e. 10115780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9309/546, 3260/423 is 10115780.

LCM(9309/546, 3260/423) = 10115780

LCM of 9309/546, 3260/423

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 9309/546,3260/423

Given numbers are 9309/546,3260/423

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 9309,3260

Least Common Multiple of Numerators i.e. LCM of 9309,3260 is 30347340.

GCF of Denominators means GCF of 546,423 as per the given fractions.

GCF of 546,423 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9309,3260

LCM of Fractions 9309/546,3260/423 is 10115780

Given numbers has no common factors except 1. So, there LCM is their product i.e 30347340

Least Common Multiple of 9309,3260 with GCF Formula

Least Common Multiple of 9309,3260 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 9309,3260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9309,3260) = 1

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

GCF(9309,3260) x common factors =1 x 1 = 1

LCM(9309,3260) = ( 9309 × 3260 ) / 1

LCM(9309,3260) = 30347340 / 1

LCM(9309,3260) = 30347340


Lets's calculate GCF of 546,423

3 546, 423
182, 141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30347340/3

Therefore the LCM of Fractions 9309/546,3260/423 is 10115780

Greatest Common Factor of 546,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,423 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 546,423 . The biggest common factor number is the GCF number.
So the greatest common factor 546,423 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 9309/546, 3260/423

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 9309/546, 3260/423?

Answer: LCM of Numerators as per given numbers 9309/546, 3260/423 is

LCM of Numerators i.e. for 9309,3260 is 30347340

GCF of denominators i.e. for 546,423 is 3.

Thus, LCM of Fractions is 10115780.Finally, LCM of Fractions for 9309/546, 3260/423 is 10115780.