Least Common Multiple of 605/495, 9477/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 605/495, 9477/915 quickly i.e. 382239 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 605/495, 9477/915 is 382239.

LCM(605/495, 9477/915) = 382239

LCM of 605/495, 9477/915

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 605/495,9477/915

Given numbers are 605/495,9477/915

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 605,9477

Least Common Multiple of Numerators i.e. LCM of 605,9477 is 5733585.

GCF of Denominators means GCF of 495,915 as per the given fractions.

GCF of 495,915 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 605,9477

LCM of Fractions 605/495,9477/915 is 382239

Given numbers has no common factors except 1. So, there LCM is their product i.e 5733585

Least Common Multiple of 605,9477 with GCF Formula

Least Common Multiple of 605,9477 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 605,9477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,9477) = 1

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

GCF(605,9477) x common factors =1 x 1 = 1

LCM(605,9477) = ( 605 × 9477 ) / 1

LCM(605,9477) = 5733585 / 1

LCM(605,9477) = 5733585


Lets's calculate GCF of 495,915

3 495, 915
5 165, 305
33, 61

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5733585/15

Therefore the LCM of Fractions 605/495,9477/915 is 382239

Greatest Common Factor of 495,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 495,915 By Matching Biggest Common Factor Method

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1,3,5,9,11,15,33,45,55,99,165,495

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 495,915 . The biggest common factor number is the GCF number.
So the greatest common factor 495,915 is 15.


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 605/495, 9477/915

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 605/495, 9477/915?

Answer: LCM of Numerators as per given numbers 605/495, 9477/915 is

LCM of Numerators i.e. for 605,9477 is 5733585

GCF of denominators i.e. for 495,915 is 15.

Thus, LCM of Fractions is 382239.Finally, LCM of Fractions for 605/495, 9477/915 is 382239.