Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/616, 84/592, 466/365 quickly i.e. 1624476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/616, 84/592, 466/365 is 1624476.
LCM(83/616, 84/592, 466/365) = 1624476
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/616,84/592,466/365
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 83,84,466
Least Common Multiple of Numerators i.e. LCM of 83,84,466 is 1624476.
GCF of Denominators means GCF of 616,592,365 as per the given fractions.
GCF of 616,592,365 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,84,466
2 | 83, 84, 466 |
83, 42, 233 |
∴ So the LCM of the given numbers is 2 x 83 x 42 x 233 = 1624476
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 83,84,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,84,466) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(83,84,466) x common factors =1 x 2 = 2
LCM(83,84,466) = ( 83 × 84 × 466 ) / 2
LCM(83,84,466) = 3248952 / 2
LCM(83,84,466) = 1624476
Lets's calculate GCF of 616,592,365
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1624476/1
Therefore the LCM of Fractions 83/616,84/592,466/365 is 1624476
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Greatest Common Factor
We found the factors 616,592,365 . The biggest common factor number is the GCF number.
So the greatest common factor 616,592,365 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 83/616, 84/592, 466/365?
Answer: LCM of Numerators as per given numbers 83/616, 84/592, 466/365 is
LCM of Numerators i.e. for 83,84,466 is 1624476
GCF of denominators i.e. for 616,592,365 is 1.
Thus, LCM of Fractions is 1624476.Finally, LCM of Fractions for 83/616, 84/592, 466/365 is 1624476.