Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8430/610, 5327/998 quickly i.e. 22453305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8430/610, 5327/998 is 22453305.
LCM(8430/610, 5327/998) = 22453305
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8430/610,5327/998
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 8430,5327
Least Common Multiple of Numerators i.e. LCM of 8430,5327 is 44906610.
GCF of Denominators means GCF of 610,998 as per the given fractions.
GCF of 610,998 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8430,5327
Given numbers has no common factors except 1. So, there LCM is their product i.e 44906610
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 8430,5327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8430,5327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8430,5327) x common factors =1 x 1 = 1
LCM(8430,5327) = ( 8430 × 5327 ) / 1
LCM(8430,5327) = 44906610 / 1
LCM(8430,5327) = 44906610
Lets's calculate GCF of 610,998
2 | 610, 998 |
305, 499 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44906610/2
Therefore the LCM of Fractions 8430/610,5327/998 is 22453305
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Factors of 998
List of positive integer factors of 998 that divides 998 without a remainder.
1,2,499,998
Greatest Common Factor
We found the factors 610,998 . The biggest common factor number is the GCF number.
So the greatest common factor 610,998 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 8430/610, 5327/998?
Answer: LCM of Numerators as per given numbers 8430/610, 5327/998 is
LCM of Numerators i.e. for 8430,5327 is 44906610
GCF of denominators i.e. for 610,998 is 2.
Thus, LCM of Fractions is 22453305.Finally, LCM of Fractions for 8430/610, 5327/998 is 22453305.