Least Common Multiple of 9512/60, 8355/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9512/60, 8355/905 quickly i.e. 15894552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9512/60, 8355/905 is 15894552.

LCM(9512/60, 8355/905) = 15894552

LCM of 9512/60, 8355/905

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 9512/60,8355/905

Given numbers are 9512/60,8355/905

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 9512,8355

Least Common Multiple of Numerators i.e. LCM of 9512,8355 is 79472760.

GCF of Denominators means GCF of 60,905 as per the given fractions.

GCF of 60,905 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9512,8355

LCM of Fractions 9512/60,8355/905 is 15894552

Given numbers has no common factors except 1. So, there LCM is their product i.e 79472760

Least Common Multiple of 9512,8355 with GCF Formula

Least Common Multiple of 9512,8355 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 9512,8355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9512,8355) = 1

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

GCF(9512,8355) x common factors =1 x 1 = 1

LCM(9512,8355) = ( 9512 × 8355 ) / 1

LCM(9512,8355) = 79472760 / 1

LCM(9512,8355) = 79472760


Lets's calculate GCF of 60,905

5 60, 905
12, 181

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79472760/5

Therefore the LCM of Fractions 9512/60,8355/905 is 15894552

Greatest Common Factor of 60,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,905 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 60,905 . The biggest common factor number is the GCF number.
So the greatest common factor 60,905 is 5.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 9512/60, 8355/905

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 9512/60, 8355/905?

Answer: LCM of Numerators as per given numbers 9512/60, 8355/905 is

LCM of Numerators i.e. for 9512,8355 is 79472760

GCF of denominators i.e. for 60,905 is 5.

Thus, LCM of Fractions is 15894552.Finally, LCM of Fractions for 9512/60, 8355/905 is 15894552.