Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/44, 33/98, 89/82, 830/24 quickly i.e. 1218855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/44, 33/98, 89/82, 830/24 is 1218855.
LCM(22/44, 33/98, 89/82, 830/24) = 1218855
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/44,33/98,89/82,830/24
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 22,33,89,830
Least Common Multiple of Numerators i.e. LCM of 22,33,89,830 is 2437710.
GCF of Denominators means GCF of 44,98,82,24 as per the given fractions.
GCF of 44,98,82,24 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,33,89,830
2 | 22, 33, 89, 830 |
11 | 11, 33, 89, 415 |
1, 3, 89, 415 |
∴ So the LCM of the given numbers is 2 x 11 x 1 x 3 x 89 x 415 = 2437710
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 22,33,89,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,33,89,830) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(22,33,89,830) x common factors =1 x 22 = 22
LCM(22,33,89,830) = ( 22 × 33 × 89 × 830 ) / 22
LCM(22,33,89,830) = 53629620 / 22
LCM(22,33,89,830) = 2437710
Lets's calculate GCF of 44,98,82,24
2 | 44, 98, 82, 24 |
22, 49, 41, 12 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2437710/2
Therefore the LCM of Fractions 22/44,33/98,89/82,830/24 is 1218855
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Greatest Common Factor
We found the factors 44,98,82,24 . The biggest common factor number is the GCF number.
So the greatest common factor 44,98,82,24 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 22/44, 33/98, 89/82, 830/24?
Answer: LCM of Numerators as per given numbers 22/44, 33/98, 89/82, 830/24 is
LCM of Numerators i.e. for 22,33,89,830 is 2437710
GCF of denominators i.e. for 44,98,82,24 is 2.
Thus, LCM of Fractions is 1218855.Finally, LCM of Fractions for 22/44, 33/98, 89/82, 830/24 is 1218855.