Least Common Multiple of 321/743, 8122/9409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/743, 8122/9409 quickly i.e. 2607162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/743, 8122/9409 is 2607162.

LCM(321/743, 8122/9409) = 2607162

LCM of 321/743, 8122/9409

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 321/743,8122/9409

Given numbers are 321/743,8122/9409

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 321,8122

Least Common Multiple of Numerators i.e. LCM of 321,8122 is 2607162.

GCF of Denominators means GCF of 743,9409 as per the given fractions.

GCF of 743,9409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,8122

LCM of Fractions 321/743,8122/9409 is 2607162

Given numbers has no common factors except 1. So, there LCM is their product i.e 2607162

Least Common Multiple of 321,8122 with GCF Formula

Least Common Multiple of 321,8122 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 321,8122 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,8122) = 1

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

GCF(321,8122) x common factors =1 x 1 = 1

LCM(321,8122) = ( 321 × 8122 ) / 1

LCM(321,8122) = 2607162 / 1

LCM(321,8122) = 2607162


Lets's calculate GCF of 743,9409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2607162/1

Therefore the LCM of Fractions 321/743,8122/9409 is 2607162

Greatest Common Factor of 743,9409 By Matching Biggest Common Factor Method

Greatest Common Factor of 743,9409 By Matching Biggest Common Factor Method

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Factors of 9409

List of positive integer factors of 9409 that divides 9409 without a remainder.

1,97,9409

Greatest Common Factor

We found the factors 743,9409 . The biggest common factor number is the GCF number.
So the greatest common factor 743,9409 is 1.


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 321/743, 8122/9409

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 321/743, 8122/9409?

Answer: LCM of Numerators as per given numbers 321/743, 8122/9409 is

LCM of Numerators i.e. for 321,8122 is 2607162

GCF of denominators i.e. for 743,9409 is 1.

Thus, LCM of Fractions is 2607162.Finally, LCM of Fractions for 321/743, 8122/9409 is 2607162.