Least Common Multiple of 328/396, 9295/822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 328/396, 9295/822 quickly i.e. 3048760/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 328/396, 9295/822 is 3048760/6.

LCM(328/396, 9295/822) = 3048760/6

LCM of 328/396, 9295/822

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 328/396,9295/822

Given numbers are 328/396,9295/822

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 328,9295

Least Common Multiple of Numerators i.e. LCM of 328,9295 is 3048760.

GCF of Denominators means GCF of 396,822 as per the given fractions.

GCF of 396,822 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 328,9295

LCM of Fractions 328/396,9295/822 is 3048760/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 3048760

Least Common Multiple of 328,9295 with GCF Formula

Least Common Multiple of 328,9295 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 328,9295 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,9295) = 1

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

GCF(328,9295) x common factors =1 x 1 = 1

LCM(328,9295) = ( 328 × 9295 ) / 1

LCM(328,9295) = 3048760 / 1

LCM(328,9295) = 3048760


Lets's calculate GCF of 396,822

2 396, 822
3 198, 411
66, 137

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3048760/6

Therefore the LCM of Fractions 328/396,9295/822 is 3048760/6

Greatest Common Factor of 396,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 396,822 By Matching Biggest Common Factor Method

Factors of 396

List of positive integer factors of 396 that divides 396 without a remainder.

1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 396,822 . The biggest common factor number is the GCF number.
So the greatest common factor 396,822 is 6.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 328/396, 9295/822

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 328/396, 9295/822?

Answer: LCM of Numerators as per given numbers 328/396, 9295/822 is

LCM of Numerators i.e. for 328,9295 is 3048760

GCF of denominators i.e. for 396,822 is 6.

Thus, LCM of Fractions is 3048760/6.Finally, LCM of Fractions for 328/396, 9295/822 is 3048760/6.