Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 805/962, 5958/4496 quickly i.e. 2398095 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 805/962, 5958/4496 is 2398095.
LCM(805/962, 5958/4496) = 2398095
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 805/962,5958/4496
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 805,5958
Least Common Multiple of Numerators i.e. LCM of 805,5958 is 4796190.
GCF of Denominators means GCF of 962,4496 as per the given fractions.
GCF of 962,4496 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 805,5958
Given numbers has no common factors except 1. So, there LCM is their product i.e 4796190
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 805,5958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,5958) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(805,5958) x common factors =1 x 1 = 1
LCM(805,5958) = ( 805 × 5958 ) / 1
LCM(805,5958) = 4796190 / 1
LCM(805,5958) = 4796190
Lets's calculate GCF of 962,4496
2 | 962, 4496 |
481, 2248 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4796190/2
Therefore the LCM of Fractions 805/962,5958/4496 is 2398095
Factors of 962
List of positive integer factors of 962 that divides 962 without a remainder.
1,2,13,26,37,74,481,962
Factors of 4496
List of positive integer factors of 4496 that divides 4496 without a remainder.
1,2,4,8,16,281,562,1124,2248,4496
Greatest Common Factor
We found the factors 962,4496 . The biggest common factor number is the GCF number.
So the greatest common factor 962,4496 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 805/962, 5958/4496?
Answer: LCM of Numerators as per given numbers 805/962, 5958/4496 is
LCM of Numerators i.e. for 805,5958 is 4796190
GCF of denominators i.e. for 962,4496 is 2.
Thus, LCM of Fractions is 2398095.Finally, LCM of Fractions for 805/962, 5958/4496 is 2398095.