Least Common Multiple of 8325/295, 3894/9904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8325/295, 3894/9904 quickly i.e. 10805850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8325/295, 3894/9904 is 10805850.

LCM(8325/295, 3894/9904) = 10805850

LCM of 8325/295, 3894/9904

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 8325/295,3894/9904

Given numbers are 8325/295,3894/9904

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 8325,3894

Least Common Multiple of Numerators i.e. LCM of 8325,3894 is 10805850.

GCF of Denominators means GCF of 295,9904 as per the given fractions.

GCF of 295,9904 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8325,3894

LCM of Fractions 8325/295,3894/9904 is 10805850

3 8325, 3894
2775, 1298

∴ So the LCM of the given numbers is 3 x 2775 x 1298 = 10805850

Least Common Multiple of 8325,3894 with GCF Formula

Least Common Multiple of 8325,3894 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 8325,3894 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8325,3894) = 3

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

GCF(8325,3894) x common factors =3 x 1 = 3

LCM(8325,3894) = ( 8325 × 3894 ) / 3

LCM(8325,3894) = 32417550 / 3

LCM(8325,3894) = 10805850


Lets's calculate GCF of 295,9904

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10805850/1

Therefore the LCM of Fractions 8325/295,3894/9904 is 10805850

Greatest Common Factor of 295,9904 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,9904 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 9904

List of positive integer factors of 9904 that divides 9904 without a remainder.

1,2,4,8,16,619,1238,2476,4952,9904

Greatest Common Factor

We found the factors 295,9904 . The biggest common factor number is the GCF number.
So the greatest common factor 295,9904 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8325/295, 3894/9904

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 8325/295, 3894/9904?

Answer: LCM of Numerators as per given numbers 8325/295, 3894/9904 is

LCM of Numerators i.e. for 8325,3894 is 10805850

GCF of denominators i.e. for 295,9904 is 1.

Thus, LCM of Fractions is 10805850.Finally, LCM of Fractions for 8325/295, 3894/9904 is 10805850.