Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1897/219, 9820/3501 quickly i.e. 18628540/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1897/219, 9820/3501 is 18628540/3.
LCM(1897/219, 9820/3501) = 18628540/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1897/219,9820/3501
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 1897,9820
Least Common Multiple of Numerators i.e. LCM of 1897,9820 is 18628540.
GCF of Denominators means GCF of 219,3501 as per the given fractions.
GCF of 219,3501 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1897,9820
Given numbers has no common factors except 1. So, there LCM is their product i.e 18628540
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 1897,9820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1897,9820) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1897,9820) x common factors =1 x 1 = 1
LCM(1897,9820) = ( 1897 × 9820 ) / 1
LCM(1897,9820) = 18628540 / 1
LCM(1897,9820) = 18628540
Lets's calculate GCF of 219,3501
3 | 219, 3501 |
73, 1167 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18628540/3
Therefore the LCM of Fractions 1897/219,9820/3501 is 18628540/3
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Factors of 3501
List of positive integer factors of 3501 that divides 3501 without a remainder.
1,3,9,389,1167,3501
Greatest Common Factor
We found the factors 219,3501 . The biggest common factor number is the GCF number.
So the greatest common factor 219,3501 is 3.
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 1897/219, 9820/3501?
Answer: LCM of Numerators as per given numbers 1897/219, 9820/3501 is
LCM of Numerators i.e. for 1897,9820 is 18628540
GCF of denominators i.e. for 219,3501 is 3.
Thus, LCM of Fractions is 18628540/3.Finally, LCM of Fractions for 1897/219, 9820/3501 is 18628540/3.