Least Common Multiple of 324/66, 705/3994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 324/66, 705/3994 quickly i.e. 38070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 324/66, 705/3994 is 38070.

LCM(324/66, 705/3994) = 38070

LCM of 324/66, 705/3994

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 324/66,705/3994

Given numbers are 324/66,705/3994

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 324,705

Least Common Multiple of Numerators i.e. LCM of 324,705 is 76140.

GCF of Denominators means GCF of 66,3994 as per the given fractions.

GCF of 66,3994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 324,705

LCM of Fractions 324/66,705/3994 is 38070

3 324, 705
108, 235

∴ So the LCM of the given numbers is 3 x 108 x 235 = 76140

Least Common Multiple of 324,705 with GCF Formula

Least Common Multiple of 324,705 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 324,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(324,705) = 3

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

GCF(324,705) x common factors =3 x 1 = 3

LCM(324,705) = ( 324 × 705 ) / 3

LCM(324,705) = 228420 / 3

LCM(324,705) = 76140


Lets's calculate GCF of 66,3994

2 66, 3994
33, 1997

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 76140/2

Therefore the LCM of Fractions 324/66,705/3994 is 38070

Greatest Common Factor of 66,3994 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,3994 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 3994

List of positive integer factors of 3994 that divides 3994 without a remainder.

1,2,1997,3994

Greatest Common Factor

We found the factors 66,3994 . The biggest common factor number is the GCF number.
So the greatest common factor 66,3994 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 324/66, 705/3994

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 324/66, 705/3994?

Answer: LCM of Numerators as per given numbers 324/66, 705/3994 is

LCM of Numerators i.e. for 324,705 is 76140

GCF of denominators i.e. for 66,3994 is 2.

Thus, LCM of Fractions is 38070.Finally, LCM of Fractions for 324/66, 705/3994 is 38070.