Least Common Multiple of 465/64, 997/3115

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 465/64, 997/3115 quickly i.e. 463605 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 465/64, 997/3115 is 463605.

LCM(465/64, 997/3115) = 463605

LCM of 465/64, 997/3115

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 465/64,997/3115

Given numbers are 465/64,997/3115

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 465,997

Least Common Multiple of Numerators i.e. LCM of 465,997 is 463605.

GCF of Denominators means GCF of 64,3115 as per the given fractions.

GCF of 64,3115 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 465,997

LCM of Fractions 465/64,997/3115 is 463605

Given numbers has no common factors except 1. So, there LCM is their product i.e 463605

Least Common Multiple of 465,997 with GCF Formula

Least Common Multiple of 465,997 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 465,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,997) = 1

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

GCF(465,997) x common factors =1 x 1 = 1

LCM(465,997) = ( 465 × 997 ) / 1

LCM(465,997) = 463605 / 1

LCM(465,997) = 463605


Lets's calculate GCF of 64,3115

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 463605/1

Therefore the LCM of Fractions 465/64,997/3115 is 463605

Greatest Common Factor of 64,3115 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,3115 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 3115

List of positive integer factors of 3115 that divides 3115 without a remainder.

1,5,7,35,89,445,623,3115

Greatest Common Factor

We found the factors 64,3115 . The biggest common factor number is the GCF number.
So the greatest common factor 64,3115 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 465/64, 997/3115

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 465/64, 997/3115?

Answer: LCM of Numerators as per given numbers 465/64, 997/3115 is

LCM of Numerators i.e. for 465,997 is 463605

GCF of denominators i.e. for 64,3115 is 1.

Thus, LCM of Fractions is 463605.Finally, LCM of Fractions for 465/64, 997/3115 is 463605.