Least Common Multiple of 304/313, 6307/5635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 304/313, 6307/5635 quickly i.e. 1917328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 304/313, 6307/5635 is 1917328.

LCM(304/313, 6307/5635) = 1917328

LCM of 304/313, 6307/5635

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 304/313,6307/5635

Given numbers are 304/313,6307/5635

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 304,6307

Least Common Multiple of Numerators i.e. LCM of 304,6307 is 1917328.

GCF of Denominators means GCF of 313,5635 as per the given fractions.

GCF of 313,5635 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 304,6307

LCM of Fractions 304/313,6307/5635 is 1917328

Given numbers has no common factors except 1. So, there LCM is their product i.e 1917328

Least Common Multiple of 304,6307 with GCF Formula

Least Common Multiple of 304,6307 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 304,6307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(304,6307) = 1

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

GCF(304,6307) x common factors =1 x 1 = 1

LCM(304,6307) = ( 304 × 6307 ) / 1

LCM(304,6307) = 1917328 / 1

LCM(304,6307) = 1917328


Lets's calculate GCF of 313,5635

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1917328/1

Therefore the LCM of Fractions 304/313,6307/5635 is 1917328

Greatest Common Factor of 313,5635 By Matching Biggest Common Factor Method

Greatest Common Factor of 313,5635 By Matching Biggest Common Factor Method

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 5635

List of positive integer factors of 5635 that divides 5635 without a remainder.

1,5,7,23,35,49,115,161,245,805,1127,5635

Greatest Common Factor

We found the factors 313,5635 . The biggest common factor number is the GCF number.
So the greatest common factor 313,5635 is 1.


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 304/313, 6307/5635

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 304/313, 6307/5635?

Answer: LCM of Numerators as per given numbers 304/313, 6307/5635 is

LCM of Numerators i.e. for 304,6307 is 1917328

GCF of denominators i.e. for 313,5635 is 1.

Thus, LCM of Fractions is 1917328.Finally, LCM of Fractions for 304/313, 6307/5635 is 1917328.