Least Common Multiple of 9507/390, 8060/685

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9507/390, 8060/685 quickly i.e. 15325284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9507/390, 8060/685 is 15325284.

LCM(9507/390, 8060/685) = 15325284

LCM of 9507/390, 8060/685

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 9507/390,8060/685

Given numbers are 9507/390,8060/685

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 9507,8060

Least Common Multiple of Numerators i.e. LCM of 9507,8060 is 76626420.

GCF of Denominators means GCF of 390,685 as per the given fractions.

GCF of 390,685 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9507,8060

LCM of Fractions 9507/390,8060/685 is 15325284

Given numbers has no common factors except 1. So, there LCM is their product i.e 76626420

Least Common Multiple of 9507,8060 with GCF Formula

Least Common Multiple of 9507,8060 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 9507,8060 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9507,8060) = 1

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

GCF(9507,8060) x common factors =1 x 1 = 1

LCM(9507,8060) = ( 9507 × 8060 ) / 1

LCM(9507,8060) = 76626420 / 1

LCM(9507,8060) = 76626420


Lets's calculate GCF of 390,685

5 390, 685
78, 137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76626420/5

Therefore the LCM of Fractions 9507/390,8060/685 is 15325284

Greatest Common Factor of 390,685 By Matching Biggest Common Factor Method

Greatest Common Factor of 390,685 By Matching Biggest Common Factor Method

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Greatest Common Factor

We found the factors 390,685 . The biggest common factor number is the GCF number.
So the greatest common factor 390,685 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9507/390, 8060/685

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 9507/390, 8060/685?

Answer: LCM of Numerators as per given numbers 9507/390, 8060/685 is

LCM of Numerators i.e. for 9507,8060 is 76626420

GCF of denominators i.e. for 390,685 is 5.

Thus, LCM of Fractions is 15325284.Finally, LCM of Fractions for 9507/390, 8060/685 is 15325284.