Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/266, 38/733, 682/281 quickly i.e. 544236 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/266, 38/733, 682/281 is 544236.
LCM(84/266, 38/733, 682/281) = 544236
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/266,38/733,682/281
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 84,38,682
Least Common Multiple of Numerators i.e. LCM of 84,38,682 is 544236.
GCF of Denominators means GCF of 266,733,281 as per the given fractions.
GCF of 266,733,281 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,38,682
2 | 84, 38, 682 |
42, 19, 341 |
∴ So the LCM of the given numbers is 2 x 42 x 19 x 341 = 544236
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 84,38,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,38,682) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(84,38,682) x common factors =2 x 2 = 4
LCM(84,38,682) = ( 84 × 38 × 682 ) / 4
LCM(84,38,682) = 2176944 / 4
LCM(84,38,682) = 544236
Lets's calculate GCF of 266,733,281
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 544236/1
Therefore the LCM of Fractions 84/266,38/733,682/281 is 544236
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Factors of 281
List of positive integer factors of 281 that divides 281 without a remainder.
1,281
Greatest Common Factor
We found the factors 266,733,281 . The biggest common factor number is the GCF number.
So the greatest common factor 266,733,281 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 84/266, 38/733, 682/281?
Answer: LCM of Numerators as per given numbers 84/266, 38/733, 682/281 is
LCM of Numerators i.e. for 84,38,682 is 544236
GCF of denominators i.e. for 266,733,281 is 1.
Thus, LCM of Fractions is 544236.Finally, LCM of Fractions for 84/266, 38/733, 682/281 is 544236.