Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/98, 43/522, 12/190 quickly i.e. 258 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/98, 43/522, 12/190 is 258.
LCM(1/98, 43/522, 12/190) = 258
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/98,43/522,12/190
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 1,43,12
Least Common Multiple of Numerators i.e. LCM of 1,43,12 is 516.
GCF of Denominators means GCF of 98,522,190 as per the given fractions.
GCF of 98,522,190 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,43,12
Given numbers has no common factors except 1. So, there LCM is their product i.e 516
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 1,43,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,43,12) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1,43,12) x common factors =1 x 1 = 1
LCM(1,43,12) = ( 1 × 43 × 12 ) / 1
LCM(1,43,12) = 516 / 1
LCM(1,43,12) = 516
Lets's calculate GCF of 98,522,190
2 | 98, 522, 190 |
49, 261, 95 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 516/2
Therefore the LCM of Fractions 1/98,43/522,12/190 is 258
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 522
List of positive integer factors of 522 that divides 522 without a remainder.
1,2,3,6,9,18,29,58,87,174,261,522
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Greatest Common Factor
We found the factors 98,522,190 . The biggest common factor number is the GCF number.
So the greatest common factor 98,522,190 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 1/98, 43/522, 12/190?
Answer: LCM of Numerators as per given numbers 1/98, 43/522, 12/190 is
LCM of Numerators i.e. for 1,43,12 is 516
GCF of denominators i.e. for 98,522,190 is 2.
Thus, LCM of Fractions is 258.Finally, LCM of Fractions for 1/98, 43/522, 12/190 is 258.