Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7996/359, 9218/434 quickly i.e. 36853564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7996/359, 9218/434 is 36853564.
LCM(7996/359, 9218/434) = 36853564
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7996/359,9218/434
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 7996,9218
Least Common Multiple of Numerators i.e. LCM of 7996,9218 is 36853564.
GCF of Denominators means GCF of 359,434 as per the given fractions.
GCF of 359,434 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7996,9218
2 | 7996, 9218 |
3998, 4609 |
∴ So the LCM of the given numbers is 2 x 3998 x 4609 = 36853564
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 7996,9218 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7996,9218) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7996,9218) x common factors =2 x 1 = 2
LCM(7996,9218) = ( 7996 × 9218 ) / 2
LCM(7996,9218) = 73707128 / 2
LCM(7996,9218) = 36853564
Lets's calculate GCF of 359,434
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36853564/1
Therefore the LCM of Fractions 7996/359,9218/434 is 36853564
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 359,434 . The biggest common factor number is the GCF number.
So the greatest common factor 359,434 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 7996/359, 9218/434?
Answer: LCM of Numerators as per given numbers 7996/359, 9218/434 is
LCM of Numerators i.e. for 7996,9218 is 36853564
GCF of denominators i.e. for 359,434 is 1.
Thus, LCM of Fractions is 36853564.Finally, LCM of Fractions for 7996/359, 9218/434 is 36853564.