Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/372, 4234/3316 quickly i.e. 40223 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/372, 4234/3316 is 40223.
LCM(76/372, 4234/3316) = 40223
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/372,4234/3316
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 76,4234
Least Common Multiple of Numerators i.e. LCM of 76,4234 is 160892.
GCF of Denominators means GCF of 372,3316 as per the given fractions.
GCF of 372,3316 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,4234
2 | 76, 4234 |
38, 2117 |
∴ So the LCM of the given numbers is 2 x 38 x 2117 = 160892
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 76,4234 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,4234) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(76,4234) x common factors =2 x 1 = 2
LCM(76,4234) = ( 76 × 4234 ) / 2
LCM(76,4234) = 321784 / 2
LCM(76,4234) = 160892
Lets's calculate GCF of 372,3316
2 | 372, 3316 |
2 | 186, 1658 |
93, 829 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160892/4
Therefore the LCM of Fractions 76/372,4234/3316 is 40223
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 3316
List of positive integer factors of 3316 that divides 3316 without a remainder.
1,2,4,829,1658,3316
Greatest Common Factor
We found the factors 372,3316 . The biggest common factor number is the GCF number.
So the greatest common factor 372,3316 is 4.
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 76/372, 4234/3316?
Answer: LCM of Numerators as per given numbers 76/372, 4234/3316 is
LCM of Numerators i.e. for 76,4234 is 160892
GCF of denominators i.e. for 372,3316 is 4.
Thus, LCM of Fractions is 40223.Finally, LCM of Fractions for 76/372, 4234/3316 is 40223.