Least Common Multiple of 679/65, 304/6055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 679/65, 304/6055 quickly i.e. 206416/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/65, 304/6055 is 206416/5.

LCM(679/65, 304/6055) = 206416/5

LCM of 679/65, 304/6055

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 679/65,304/6055

Given numbers are 679/65,304/6055

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 679,304

Least Common Multiple of Numerators i.e. LCM of 679,304 is 206416.

GCF of Denominators means GCF of 65,6055 as per the given fractions.

GCF of 65,6055 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,304

LCM of Fractions 679/65,304/6055 is 206416/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 206416

Least Common Multiple of 679,304 with GCF Formula

Least Common Multiple of 679,304 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 679,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,304) = 1

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

GCF(679,304) x common factors =1 x 1 = 1

LCM(679,304) = ( 679 × 304 ) / 1

LCM(679,304) = 206416 / 1

LCM(679,304) = 206416


Lets's calculate GCF of 65,6055

5 65, 6055
13, 1211

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 206416/5

Therefore the LCM of Fractions 679/65,304/6055 is 206416/5

Greatest Common Factor of 65,6055 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,6055 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 6055

List of positive integer factors of 6055 that divides 6055 without a remainder.

1,5,7,35,173,865,1211,6055

Greatest Common Factor

We found the factors 65,6055 . The biggest common factor number is the GCF number.
So the greatest common factor 65,6055 is 5.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 679/65, 304/6055

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 679/65, 304/6055?

Answer: LCM of Numerators as per given numbers 679/65, 304/6055 is

LCM of Numerators i.e. for 679,304 is 206416

GCF of denominators i.e. for 65,6055 is 5.

Thus, LCM of Fractions is 206416/5.Finally, LCM of Fractions for 679/65, 304/6055 is 206416/5.