Least Common Multiple of 66/582, 2735/3998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/582, 2735/3998 quickly i.e. 90255 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/582, 2735/3998 is 90255.

LCM(66/582, 2735/3998) = 90255

LCM of 66/582, 2735/3998

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 66/582,2735/3998

Given numbers are 66/582,2735/3998

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 66,2735

Least Common Multiple of Numerators i.e. LCM of 66,2735 is 180510.

GCF of Denominators means GCF of 582,3998 as per the given fractions.

GCF of 582,3998 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,2735

LCM of Fractions 66/582,2735/3998 is 90255

Given numbers has no common factors except 1. So, there LCM is their product i.e 180510

Least Common Multiple of 66,2735 with GCF Formula

Least Common Multiple of 66,2735 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 66,2735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,2735) = 1

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

GCF(66,2735) x common factors =1 x 1 = 1

LCM(66,2735) = ( 66 × 2735 ) / 1

LCM(66,2735) = 180510 / 1

LCM(66,2735) = 180510


Lets's calculate GCF of 582,3998

2 582, 3998
291, 1999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180510/2

Therefore the LCM of Fractions 66/582,2735/3998 is 90255

Greatest Common Factor of 582,3998 By Matching Biggest Common Factor Method

Greatest Common Factor of 582,3998 By Matching Biggest Common Factor Method

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1,2,3,6,97,194,291,582

Factors of 3998

List of positive integer factors of 3998 that divides 3998 without a remainder.

1,2,1999,3998

Greatest Common Factor

We found the factors 582,3998 . The biggest common factor number is the GCF number.
So the greatest common factor 582,3998 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 66/582, 2735/3998

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 66/582, 2735/3998?

Answer: LCM of Numerators as per given numbers 66/582, 2735/3998 is

LCM of Numerators i.e. for 66,2735 is 180510

GCF of denominators i.e. for 582,3998 is 2.

Thus, LCM of Fractions is 90255.Finally, LCM of Fractions for 66/582, 2735/3998 is 90255.