Least Common Multiple of 2304/199, 2905/3955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 2304/199, 2905/3955 quickly i.e. 6693120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2304/199, 2905/3955 is 6693120.

LCM(2304/199, 2905/3955) = 6693120

LCM of 2304/199, 2905/3955

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 2304/199,2905/3955

Given numbers are 2304/199,2905/3955

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 2304,2905

Least Common Multiple of Numerators i.e. LCM of 2304,2905 is 6693120.

GCF of Denominators means GCF of 199,3955 as per the given fractions.

GCF of 199,3955 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2304,2905

LCM of Fractions 2304/199,2905/3955 is 6693120

Given numbers has no common factors except 1. So, there LCM is their product i.e 6693120

Least Common Multiple of 2304,2905 with GCF Formula

Least Common Multiple of 2304,2905 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 2304,2905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2304,2905) = 1

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

GCF(2304,2905) x common factors =1 x 1 = 1

LCM(2304,2905) = ( 2304 × 2905 ) / 1

LCM(2304,2905) = 6693120 / 1

LCM(2304,2905) = 6693120


Lets's calculate GCF of 199,3955

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6693120/1

Therefore the LCM of Fractions 2304/199,2905/3955 is 6693120

Greatest Common Factor of 199,3955 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,3955 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 3955

List of positive integer factors of 3955 that divides 3955 without a remainder.

1,5,7,35,113,565,791,3955

Greatest Common Factor

We found the factors 199,3955 . The biggest common factor number is the GCF number.
So the greatest common factor 199,3955 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 2304/199, 2905/3955

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 2304/199, 2905/3955?

Answer: LCM of Numerators as per given numbers 2304/199, 2905/3955 is

LCM of Numerators i.e. for 2304,2905 is 6693120

GCF of denominators i.e. for 199,3955 is 1.

Thus, LCM of Fractions is 6693120.Finally, LCM of Fractions for 2304/199, 2905/3955 is 6693120.