Least Common Multiple of 64/735, 1031/9165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 64/735, 1031/9165 quickly i.e. 65984/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 64/735, 1031/9165 is 65984/15.

LCM(64/735, 1031/9165) = 65984/15

LCM of 64/735, 1031/9165

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 64/735,1031/9165

Given numbers are 64/735,1031/9165

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 64,1031

Least Common Multiple of Numerators i.e. LCM of 64,1031 is 65984.

GCF of Denominators means GCF of 735,9165 as per the given fractions.

GCF of 735,9165 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 64,1031

LCM of Fractions 64/735,1031/9165 is 65984/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 65984

Least Common Multiple of 64,1031 with GCF Formula

Least Common Multiple of 64,1031 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 64,1031 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,1031) = 1

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

GCF(64,1031) x common factors =1 x 1 = 1

LCM(64,1031) = ( 64 × 1031 ) / 1

LCM(64,1031) = 65984 / 1

LCM(64,1031) = 65984


Lets's calculate GCF of 735,9165

3 735, 9165
5 245, 3055
49, 611

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65984/15

Therefore the LCM of Fractions 64/735,1031/9165 is 65984/15

Greatest Common Factor of 735,9165 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,9165 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 9165

List of positive integer factors of 9165 that divides 9165 without a remainder.

1,3,5,13,15,39,47,65,141,195,235,611,705,1833,3055,9165

Greatest Common Factor

We found the factors 735,9165 . The biggest common factor number is the GCF number.
So the greatest common factor 735,9165 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 64/735, 1031/9165

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 64/735, 1031/9165?

Answer: LCM of Numerators as per given numbers 64/735, 1031/9165 is

LCM of Numerators i.e. for 64,1031 is 65984

GCF of denominators i.e. for 735,9165 is 15.

Thus, LCM of Fractions is 65984/15.Finally, LCM of Fractions for 64/735, 1031/9165 is 65984/15.