Least Common Multiple of 945/20, 366/3205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 945/20, 366/3205 quickly i.e. 23058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 945/20, 366/3205 is 23058.

LCM(945/20, 366/3205) = 23058

LCM of 945/20, 366/3205

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 945/20,366/3205

Given numbers are 945/20,366/3205

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 945,366

Least Common Multiple of Numerators i.e. LCM of 945,366 is 115290.

GCF of Denominators means GCF of 20,3205 as per the given fractions.

GCF of 20,3205 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 945,366

LCM of Fractions 945/20,366/3205 is 23058

3 945, 366
315, 122

∴ So the LCM of the given numbers is 3 x 315 x 122 = 115290

Least Common Multiple of 945,366 with GCF Formula

Least Common Multiple of 945,366 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 945,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(945,366) = 3

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

GCF(945,366) x common factors =3 x 1 = 3

LCM(945,366) = ( 945 × 366 ) / 3

LCM(945,366) = 345870 / 3

LCM(945,366) = 115290


Lets's calculate GCF of 20,3205

5 20, 3205
4, 641

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115290/5

Therefore the LCM of Fractions 945/20,366/3205 is 23058

Greatest Common Factor of 20,3205 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,3205 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 3205

List of positive integer factors of 3205 that divides 3205 without a remainder.

1,5,641,3205

Greatest Common Factor

We found the factors 20,3205 . The biggest common factor number is the GCF number.
So the greatest common factor 20,3205 is 5.


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 945/20, 366/3205

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 945/20, 366/3205?

Answer: LCM of Numerators as per given numbers 945/20, 366/3205 is

LCM of Numerators i.e. for 945,366 is 115290

GCF of denominators i.e. for 20,3205 is 5.

Thus, LCM of Fractions is 23058.Finally, LCM of Fractions for 945/20, 366/3205 is 23058.