Least Common Multiple of 665/51, 703/11, 367/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 665/51, 703/11, 367/230 quickly i.e. 9030035 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 665/51, 703/11, 367/230 is 9030035.

LCM(665/51, 703/11, 367/230) = 9030035

LCM of 665/51, 703/11, 367/230

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 665/51,703/11,367/230

Given numbers are 665/51,703/11,367/230

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 665,703,367

Least Common Multiple of Numerators i.e. LCM of 665,703,367 is 9030035.

GCF of Denominators means GCF of 51,11,230 as per the given fractions.

GCF of 51,11,230 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 665,703,367

LCM of Fractions 665/51,703/11,367/230 is 9030035

19 665, 703, 367
35, 37, 367

∴ So the LCM of the given numbers is 19 x 35 x 37 x 367 = 9030035

Least Common Multiple of 665,703,367 with GCF Formula

Least Common Multiple of 665,703,367 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 665,703,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,703,367) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(665,703,367) x common factors =1 x 19 = 19

LCM(665,703,367) = ( 665 × 703 × 367 ) / 19

LCM(665,703,367) = 171570665 / 19

LCM(665,703,367) = 9030035


Lets's calculate GCF of 51,11,230

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9030035/1

Therefore the LCM of Fractions 665/51,703/11,367/230 is 9030035

Greatest Common Factor of 51,11,230 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,11,230 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Greatest Common Factor

We found the factors 51,11,230 . The biggest common factor number is the GCF number.
So the greatest common factor 51,11,230 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 665/51, 703/11, 367/230

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 665/51, 703/11, 367/230?

Answer: LCM of Numerators as per given numbers 665/51, 703/11, 367/230 is

LCM of Numerators i.e. for 665,703,367 is 9030035

GCF of denominators i.e. for 51,11,230 is 1.

Thus, LCM of Fractions is 9030035.Finally, LCM of Fractions for 665/51, 703/11, 367/230 is 9030035.