Least Common Multiple of 38/811, 21/448, 366/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/811, 21/448, 366/266 quickly i.e. 48678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/811, 21/448, 366/266 is 48678.

LCM(38/811, 21/448, 366/266) = 48678

LCM of 38/811, 21/448, 366/266

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 38/811,21/448,366/266

Given numbers are 38/811,21/448,366/266

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 38,21,366

Least Common Multiple of Numerators i.e. LCM of 38,21,366 is 48678.

GCF of Denominators means GCF of 811,448,266 as per the given fractions.

GCF of 811,448,266 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,21,366

LCM of Fractions 38/811,21/448,366/266 is 48678

2 38, 21, 366
3 19, 21, 183
19, 7, 61

∴ So the LCM of the given numbers is 2 x 3 x 19 x 7 x 61 = 48678

Least Common Multiple of 38,21,366 with GCF Formula

Least Common Multiple of 38,21,366 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 38,21,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,21,366) = 1

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

GCF(38,21,366) x common factors =1 x 6 = 6

LCM(38,21,366) = ( 38 × 21 × 366 ) / 6

LCM(38,21,366) = 292068 / 6

LCM(38,21,366) = 48678


Lets's calculate GCF of 811,448,266

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48678/1

Therefore the LCM of Fractions 38/811,21/448,366/266 is 48678

Greatest Common Factor of 811,448,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 811,448,266 By Matching Biggest Common Factor Method

Factors of 811

List of positive integer factors of 811 that divides 811 without a remainder.

1,811

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 811,448,266 . The biggest common factor number is the GCF number.
So the greatest common factor 811,448,266 is 1.


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 38/811, 21/448, 366/266

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 38/811, 21/448, 366/266?

Answer: LCM of Numerators as per given numbers 38/811, 21/448, 366/266 is

LCM of Numerators i.e. for 38,21,366 is 48678

GCF of denominators i.e. for 811,448,266 is 1.

Thus, LCM of Fractions is 48678.Finally, LCM of Fractions for 38/811, 21/448, 366/266 is 48678.