Least Common Multiple of 4899/135, 8666/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4899/135, 8666/435 quickly i.e. 42454734/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4899/135, 8666/435 is 42454734/15.

LCM(4899/135, 8666/435) = 42454734/15

LCM of 4899/135, 8666/435

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 4899/135,8666/435

Given numbers are 4899/135,8666/435

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 4899,8666

Least Common Multiple of Numerators i.e. LCM of 4899,8666 is 42454734.

GCF of Denominators means GCF of 135,435 as per the given fractions.

GCF of 135,435 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4899,8666

LCM of Fractions 4899/135,8666/435 is 42454734/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 42454734

Least Common Multiple of 4899,8666 with GCF Formula

Least Common Multiple of 4899,8666 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 4899,8666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4899,8666) = 1

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

GCF(4899,8666) x common factors =1 x 1 = 1

LCM(4899,8666) = ( 4899 × 8666 ) / 1

LCM(4899,8666) = 42454734 / 1

LCM(4899,8666) = 42454734


Lets's calculate GCF of 135,435

3 135, 435
5 45, 145
9, 29

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42454734/15

Therefore the LCM of Fractions 4899/135,8666/435 is 42454734/15

Greatest Common Factor of 135,435 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,435 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Greatest Common Factor

We found the factors 135,435 . The biggest common factor number is the GCF number.
So the greatest common factor 135,435 is 15.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4899/135, 8666/435

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 4899/135, 8666/435?

Answer: LCM of Numerators as per given numbers 4899/135, 8666/435 is

LCM of Numerators i.e. for 4899,8666 is 42454734

GCF of denominators i.e. for 135,435 is 15.

Thus, LCM of Fractions is 42454734/15.Finally, LCM of Fractions for 4899/135, 8666/435 is 42454734/15.