Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 427/22, 518/9824 quickly i.e. 15799 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 427/22, 518/9824 is 15799.
LCM(427/22, 518/9824) = 15799
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 427/22,518/9824
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 427,518
Least Common Multiple of Numerators i.e. LCM of 427,518 is 31598.
GCF of Denominators means GCF of 22,9824 as per the given fractions.
GCF of 22,9824 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 427,518
7 | 427, 518 |
61, 74 |
∴ So the LCM of the given numbers is 7 x 61 x 74 = 31598
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 427,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,518) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(427,518) x common factors =7 x 1 = 7
LCM(427,518) = ( 427 × 518 ) / 7
LCM(427,518) = 221186 / 7
LCM(427,518) = 31598
Lets's calculate GCF of 22,9824
2 | 22, 9824 |
11, 4912 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31598/2
Therefore the LCM of Fractions 427/22,518/9824 is 15799
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 9824
List of positive integer factors of 9824 that divides 9824 without a remainder.
1,2,4,8,16,32,307,614,1228,2456,4912,9824
Greatest Common Factor
We found the factors 22,9824 . The biggest common factor number is the GCF number.
So the greatest common factor 22,9824 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 427/22, 518/9824?
Answer: LCM of Numerators as per given numbers 427/22, 518/9824 is
LCM of Numerators i.e. for 427,518 is 31598
GCF of denominators i.e. for 22,9824 is 2.
Thus, LCM of Fractions is 15799.Finally, LCM of Fractions for 427/22, 518/9824 is 15799.