Least Common Multiple of 9316/304, 7413/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9316/304, 7413/712 quickly i.e. 69059508/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9316/304, 7413/712 is 69059508/8.

LCM(9316/304, 7413/712) = 69059508/8

LCM of 9316/304, 7413/712

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 9316/304,7413/712

Given numbers are 9316/304,7413/712

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 9316,7413

Least Common Multiple of Numerators i.e. LCM of 9316,7413 is 69059508.

GCF of Denominators means GCF of 304,712 as per the given fractions.

GCF of 304,712 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9316,7413

LCM of Fractions 9316/304,7413/712 is 69059508/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 69059508

Least Common Multiple of 9316,7413 with GCF Formula

Least Common Multiple of 9316,7413 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 9316,7413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9316,7413) = 1

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

GCF(9316,7413) x common factors =1 x 1 = 1

LCM(9316,7413) = ( 9316 × 7413 ) / 1

LCM(9316,7413) = 69059508 / 1

LCM(9316,7413) = 69059508


Lets's calculate GCF of 304,712

2 304, 712
2 152, 356
2 76, 178
38, 89

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69059508/8

Therefore the LCM of Fractions 9316/304,7413/712 is 69059508/8

Greatest Common Factor of 304,712 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,712 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Greatest Common Factor

We found the factors 304,712 . The biggest common factor number is the GCF number.
So the greatest common factor 304,712 is 8.


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 9316/304, 7413/712

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 9316/304, 7413/712?

Answer: LCM of Numerators as per given numbers 9316/304, 7413/712 is

LCM of Numerators i.e. for 9316,7413 is 69059508

GCF of denominators i.e. for 304,712 is 8.

Thus, LCM of Fractions is 69059508/8.Finally, LCM of Fractions for 9316/304, 7413/712 is 69059508/8.