Least Common Multiple of 759/12, 905/7017

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 759/12, 905/7017 quickly i.e. 228965 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 759/12, 905/7017 is 228965.

LCM(759/12, 905/7017) = 228965

LCM of 759/12, 905/7017

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 759/12,905/7017

Given numbers are 759/12,905/7017

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 759,905

Least Common Multiple of Numerators i.e. LCM of 759,905 is 686895.

GCF of Denominators means GCF of 12,7017 as per the given fractions.

GCF of 12,7017 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 759,905

LCM of Fractions 759/12,905/7017 is 228965

Given numbers has no common factors except 1. So, there LCM is their product i.e 686895

Least Common Multiple of 759,905 with GCF Formula

Least Common Multiple of 759,905 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 759,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,905) = 1

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

GCF(759,905) x common factors =1 x 1 = 1

LCM(759,905) = ( 759 × 905 ) / 1

LCM(759,905) = 686895 / 1

LCM(759,905) = 686895


Lets's calculate GCF of 12,7017

3 12, 7017
4, 2339

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 686895/3

Therefore the LCM of Fractions 759/12,905/7017 is 228965

Greatest Common Factor of 12,7017 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,7017 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 7017

List of positive integer factors of 7017 that divides 7017 without a remainder.

1,3,2339,7017

Greatest Common Factor

We found the factors 12,7017 . The biggest common factor number is the GCF number.
So the greatest common factor 12,7017 is 3.


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 759/12, 905/7017

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 759/12, 905/7017?

Answer: LCM of Numerators as per given numbers 759/12, 905/7017 is

LCM of Numerators i.e. for 759,905 is 686895

GCF of denominators i.e. for 12,7017 is 3.

Thus, LCM of Fractions is 228965.Finally, LCM of Fractions for 759/12, 905/7017 is 228965.