Least Common Multiple of 3665/659, 9116/985

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3665/659, 9116/985 quickly i.e. 33410140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3665/659, 9116/985 is 33410140.

LCM(3665/659, 9116/985) = 33410140

LCM of 3665/659, 9116/985

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 3665/659,9116/985

Given numbers are 3665/659,9116/985

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 3665,9116

Least Common Multiple of Numerators i.e. LCM of 3665,9116 is 33410140.

GCF of Denominators means GCF of 659,985 as per the given fractions.

GCF of 659,985 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3665,9116

LCM of Fractions 3665/659,9116/985 is 33410140

Given numbers has no common factors except 1. So, there LCM is their product i.e 33410140

Least Common Multiple of 3665,9116 with GCF Formula

Least Common Multiple of 3665,9116 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 3665,9116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3665,9116) = 1

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

GCF(3665,9116) x common factors =1 x 1 = 1

LCM(3665,9116) = ( 3665 × 9116 ) / 1

LCM(3665,9116) = 33410140 / 1

LCM(3665,9116) = 33410140


Lets's calculate GCF of 659,985

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33410140/1

Therefore the LCM of Fractions 3665/659,9116/985 is 33410140

Greatest Common Factor of 659,985 By Matching Biggest Common Factor Method

Greatest Common Factor of 659,985 By Matching Biggest Common Factor Method

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Greatest Common Factor

We found the factors 659,985 . The biggest common factor number is the GCF number.
So the greatest common factor 659,985 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 3665/659, 9116/985

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 3665/659, 9116/985?

Answer: LCM of Numerators as per given numbers 3665/659, 9116/985 is

LCM of Numerators i.e. for 3665,9116 is 33410140

GCF of denominators i.e. for 659,985 is 1.

Thus, LCM of Fractions is 33410140.Finally, LCM of Fractions for 3665/659, 9116/985 is 33410140.