Least Common Multiple of 362/54, 480/81, 933/606

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 362/54, 480/81, 933/606 quickly i.e. 9006560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 362/54, 480/81, 933/606 is 9006560.

LCM(362/54, 480/81, 933/606) = 9006560

LCM of 362/54, 480/81, 933/606

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 362/54,480/81,933/606

Given numbers are 362/54,480/81,933/606

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 362,480,933

Least Common Multiple of Numerators i.e. LCM of 362,480,933 is 27019680.

GCF of Denominators means GCF of 54,81,606 as per the given fractions.

GCF of 54,81,606 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 362,480,933

LCM of Fractions 362/54,480/81,933/606 is 9006560

2 362, 480, 933
3 181, 240, 933
181, 80, 311

∴ So the LCM of the given numbers is 2 x 3 x 181 x 80 x 311 = 27019680

Least Common Multiple of 362,480,933 with GCF Formula

Least Common Multiple of 362,480,933 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 362,480,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,480,933) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(362,480,933) x common factors =1 x 6 = 6

LCM(362,480,933) = ( 362 × 480 × 933 ) / 6

LCM(362,480,933) = 162118080 / 6

LCM(362,480,933) = 27019680


Lets's calculate GCF of 54,81,606

3 54, 81, 606
18, 27, 202

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27019680/3

Therefore the LCM of Fractions 362/54,480/81,933/606 is 9006560

Greatest Common Factor of 54,81,606 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,81,606 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 606

List of positive integer factors of 606 that divides 606 without a remainder.

1,2,3,6,101,202,303,606

Greatest Common Factor

We found the factors 54,81,606 . The biggest common factor number is the GCF number.
So the greatest common factor 54,81,606 is 3.


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 362/54, 480/81, 933/606

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 362/54, 480/81, 933/606?

Answer: LCM of Numerators as per given numbers 362/54, 480/81, 933/606 is

LCM of Numerators i.e. for 362,480,933 is 27019680

GCF of denominators i.e. for 54,81,606 is 3.

Thus, LCM of Fractions is 9006560.Finally, LCM of Fractions for 362/54, 480/81, 933/606 is 9006560.