Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 438/934, 442/812 quickly i.e. 48399 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 438/934, 442/812 is 48399.
LCM(438/934, 442/812) = 48399
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 438/934,442/812
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 438,442
Least Common Multiple of Numerators i.e. LCM of 438,442 is 96798.
GCF of Denominators means GCF of 934,812 as per the given fractions.
GCF of 934,812 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 438,442
2 | 438, 442 |
219, 221 |
∴ So the LCM of the given numbers is 2 x 219 x 221 = 96798
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 438,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,442) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(438,442) x common factors =2 x 1 = 2
LCM(438,442) = ( 438 × 442 ) / 2
LCM(438,442) = 193596 / 2
LCM(438,442) = 96798
Lets's calculate GCF of 934,812
2 | 934, 812 |
467, 406 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 96798/2
Therefore the LCM of Fractions 438/934,442/812 is 48399
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Greatest Common Factor
We found the factors 934,812 . The biggest common factor number is the GCF number.
So the greatest common factor 934,812 is 2.
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 438/934, 442/812?
Answer: LCM of Numerators as per given numbers 438/934, 442/812 is
LCM of Numerators i.e. for 438,442 is 96798
GCF of denominators i.e. for 934,812 is 2.
Thus, LCM of Fractions is 48399.Finally, LCM of Fractions for 438/934, 442/812 is 48399.