Least Common Multiple of 324/22, 469/9642

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 324/22, 469/9642 quickly i.e. 75978 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 324/22, 469/9642 is 75978.

LCM(324/22, 469/9642) = 75978

LCM of 324/22, 469/9642

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 324/22,469/9642

Given numbers are 324/22,469/9642

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 324,469

Least Common Multiple of Numerators i.e. LCM of 324,469 is 151956.

GCF of Denominators means GCF of 22,9642 as per the given fractions.

GCF of 22,9642 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 324,469

LCM of Fractions 324/22,469/9642 is 75978

Given numbers has no common factors except 1. So, there LCM is their product i.e 151956

Least Common Multiple of 324,469 with GCF Formula

Least Common Multiple of 324,469 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 324,469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,469) = 1

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

GCF(324,469) x common factors =1 x 1 = 1

LCM(324,469) = ( 324 × 469 ) / 1

LCM(324,469) = 151956 / 1

LCM(324,469) = 151956


Lets's calculate GCF of 22,9642

2 22, 9642
11, 4821

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 151956/2

Therefore the LCM of Fractions 324/22,469/9642 is 75978

Greatest Common Factor of 22,9642 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,9642 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 9642

List of positive integer factors of 9642 that divides 9642 without a remainder.

1,2,3,6,1607,3214,4821,9642

Greatest Common Factor

We found the factors 22,9642 . The biggest common factor number is the GCF number.
So the greatest common factor 22,9642 is 2.


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 324/22, 469/9642

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 324/22, 469/9642?

Answer: LCM of Numerators as per given numbers 324/22, 469/9642 is

LCM of Numerators i.e. for 324,469 is 151956

GCF of denominators i.e. for 22,9642 is 2.

Thus, LCM of Fractions is 75978.Finally, LCM of Fractions for 324/22, 469/9642 is 75978.