Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/612, 72/234 quickly i.e. 332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/612, 72/234 is 332.
LCM(83/612, 72/234) = 332
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/612,72/234
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 83,72
Least Common Multiple of Numerators i.e. LCM of 83,72 is 5976.
GCF of Denominators means GCF of 612,234 as per the given fractions.
GCF of 612,234 is 18 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,72
Given numbers has no common factors except 1. So, there LCM is their product i.e 5976
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 83,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,72) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,72) x common factors =1 x 1 = 1
LCM(83,72) = ( 83 × 72 ) / 1
LCM(83,72) = 5976 / 1
LCM(83,72) = 5976
Lets's calculate GCF of 612,234
2 | 612, 234 |
3 | 306, 117 |
3 | 102, 39 |
34, 13 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5976/18
Therefore the LCM of Fractions 83/612,72/234 is 332
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 612,234 . The biggest common factor number is the GCF number.
So the greatest common factor 612,234 is 18.
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 83/612, 72/234?
Answer: LCM of Numerators as per given numbers 83/612, 72/234 is
LCM of Numerators i.e. for 83,72 is 5976
GCF of denominators i.e. for 612,234 is 18.
Thus, LCM of Fractions is 332.Finally, LCM of Fractions for 83/612, 72/234 is 332.