Least Common Multiple of 300/66, 772/82, 256/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/66, 772/82, 256/806 quickly i.e. 1852800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/66, 772/82, 256/806 is 1852800.

LCM(300/66, 772/82, 256/806) = 1852800

LCM of 300/66, 772/82, 256/806

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 300/66,772/82,256/806

Given numbers are 300/66,772/82,256/806

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 300,772,256

Least Common Multiple of Numerators i.e. LCM of 300,772,256 is 3705600.

GCF of Denominators means GCF of 66,82,806 as per the given fractions.

GCF of 66,82,806 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,772,256

LCM of Fractions 300/66,772/82,256/806 is 1852800

2 300, 772, 256
2 150, 386, 128
75, 193, 64

∴ So the LCM of the given numbers is 2 x 2 x 75 x 193 x 64 = 3705600

Least Common Multiple of 300,772,256 with GCF Formula

Least Common Multiple of 300,772,256 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 300,772,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,772,256) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(300,772,256) x common factors =4 x 4 = 16

LCM(300,772,256) = ( 300 × 772 × 256 ) / 16

LCM(300,772,256) = 59289600 / 16

LCM(300,772,256) = 3705600


Lets's calculate GCF of 66,82,806

2 66, 82, 806
33, 41, 403

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3705600/2

Therefore the LCM of Fractions 300/66,772/82,256/806 is 1852800

Greatest Common Factor of 66,82,806 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,82,806 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 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Greatest Common Factor

We found the factors 66,82,806 . The biggest common factor number is the GCF number.
So the greatest common factor 66,82,806 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 300/66, 772/82, 256/806

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 300/66, 772/82, 256/806?

Answer: LCM of Numerators as per given numbers 300/66, 772/82, 256/806 is

LCM of Numerators i.e. for 300,772,256 is 3705600

GCF of denominators i.e. for 66,82,806 is 2.

Thus, LCM of Fractions is 1852800.Finally, LCM of Fractions for 300/66, 772/82, 256/806 is 1852800.