Least Common Multiple of 459/36, 935/6615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 459/36, 935/6615 quickly i.e. 2805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 459/36, 935/6615 is 2805.

LCM(459/36, 935/6615) = 2805

LCM of 459/36, 935/6615

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 459/36,935/6615

Given numbers are 459/36,935/6615

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 459,935

Least Common Multiple of Numerators i.e. LCM of 459,935 is 25245.

GCF of Denominators means GCF of 36,6615 as per the given fractions.

GCF of 36,6615 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 459,935

LCM of Fractions 459/36,935/6615 is 2805

17 459, 935
27, 55

∴ So the LCM of the given numbers is 17 x 27 x 55 = 25245

Least Common Multiple of 459,935 with GCF Formula

Least Common Multiple of 459,935 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 459,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,935) = 17

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

GCF(459,935) x common factors =17 x 1 = 17

LCM(459,935) = ( 459 × 935 ) / 17

LCM(459,935) = 429165 / 17

LCM(459,935) = 25245


Lets's calculate GCF of 36,6615

3 36, 6615
3 12, 2205
4, 735

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25245/9

Therefore the LCM of Fractions 459/36,935/6615 is 2805

Greatest Common Factor of 36,6615 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,6615 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 6615

List of positive integer factors of 6615 that divides 6615 without a remainder.

1,3,5,7,9,15,21,27,35,45,49,63,105,135,147,189,245,315,441,735,945,1323,2205,6615

Greatest Common Factor

We found the factors 36,6615 . The biggest common factor number is the GCF number.
So the greatest common factor 36,6615 is 9.


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 459/36, 935/6615

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 459/36, 935/6615?

Answer: LCM of Numerators as per given numbers 459/36, 935/6615 is

LCM of Numerators i.e. for 459,935 is 25245

GCF of denominators i.e. for 36,6615 is 9.

Thus, LCM of Fractions is 2805.Finally, LCM of Fractions for 459/36, 935/6615 is 2805.