Least Common Multiple of 9321/967, 2106/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9321/967, 2106/321 quickly i.e. 503334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9321/967, 2106/321 is 503334.

LCM(9321/967, 2106/321) = 503334

LCM of 9321/967, 2106/321

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 9321/967,2106/321

Given numbers are 9321/967,2106/321

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 9321,2106

Least Common Multiple of Numerators i.e. LCM of 9321,2106 is 503334.

GCF of Denominators means GCF of 967,321 as per the given fractions.

GCF of 967,321 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9321,2106

LCM of Fractions 9321/967,2106/321 is 503334

3 9321, 2106
13 3107, 702
239, 54

∴ So the LCM of the given numbers is 3 x 13 x 239 x 54 = 503334

Least Common Multiple of 9321,2106 with GCF Formula

Least Common Multiple of 9321,2106 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 9321,2106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9321,2106) = 39

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

GCF(9321,2106) x common factors =39 x 1 = 39

LCM(9321,2106) = ( 9321 × 2106 ) / 39

LCM(9321,2106) = 19630026 / 39

LCM(9321,2106) = 503334


Lets's calculate GCF of 967,321

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 503334/1

Therefore the LCM of Fractions 9321/967,2106/321 is 503334

Greatest Common Factor of 967,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,321 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 967,321 . The biggest common factor number is the GCF number.
So the greatest common factor 967,321 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9321/967, 2106/321

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 9321/967, 2106/321?

Answer: LCM of Numerators as per given numbers 9321/967, 2106/321 is

LCM of Numerators i.e. for 9321,2106 is 503334

GCF of denominators i.e. for 967,321 is 1.

Thus, LCM of Fractions is 503334.Finally, LCM of Fractions for 9321/967, 2106/321 is 503334.