Least Common Multiple of 685/36, 607/12, 759/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 685/36, 607/12, 759/262 quickly i.e. 315588405/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 685/36, 607/12, 759/262 is 315588405/2.

LCM(685/36, 607/12, 759/262) = 315588405/2

LCM of 685/36, 607/12, 759/262

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 685/36,607/12,759/262

Given numbers are 685/36,607/12,759/262

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 685,607,759

Least Common Multiple of Numerators i.e. LCM of 685,607,759 is 315588405.

GCF of Denominators means GCF of 36,12,262 as per the given fractions.

GCF of 36,12,262 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 685,607,759

LCM of Fractions 685/36,607/12,759/262 is 315588405/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 315588405

Least Common Multiple of 685,607,759 with GCF Formula

Least Common Multiple of 685,607,759 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 685,607,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,607,759) = 1

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

GCF(685,607,759) x common factors =1 x 1 = 1

LCM(685,607,759) = ( 685 × 607 × 759 ) / 1

LCM(685,607,759) = 315588405 / 1

LCM(685,607,759) = 315588405


Lets's calculate GCF of 36,12,262

2 36, 12, 262
18, 6, 131

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 315588405/2

Therefore the LCM of Fractions 685/36,607/12,759/262 is 315588405/2

Greatest Common Factor of 36,12,262 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,12,262 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 12

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

1,2,3,4,6,12

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Greatest Common Factor

We found the factors 36,12,262 . The biggest common factor number is the GCF number.
So the greatest common factor 36,12,262 is 2.


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 685/36, 607/12, 759/262

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 685/36, 607/12, 759/262?

Answer: LCM of Numerators as per given numbers 685/36, 607/12, 759/262 is

LCM of Numerators i.e. for 685,607,759 is 315588405

GCF of denominators i.e. for 36,12,262 is 2.

Thus, LCM of Fractions is 315588405/2.Finally, LCM of Fractions for 685/36, 607/12, 759/262 is 315588405/2.