Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 290/219, 6468/9058 quickly i.e. 937860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 290/219, 6468/9058 is 937860.
LCM(290/219, 6468/9058) = 937860
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 290/219,6468/9058
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 290,6468
Least Common Multiple of Numerators i.e. LCM of 290,6468 is 937860.
GCF of Denominators means GCF of 219,9058 as per the given fractions.
GCF of 219,9058 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 290,6468
2 | 290, 6468 |
145, 3234 |
∴ So the LCM of the given numbers is 2 x 145 x 3234 = 937860
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 290,6468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,6468) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,6468) x common factors =2 x 1 = 2
LCM(290,6468) = ( 290 × 6468 ) / 2
LCM(290,6468) = 1875720 / 2
LCM(290,6468) = 937860
Lets's calculate GCF of 219,9058
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 937860/1
Therefore the LCM of Fractions 290/219,6468/9058 is 937860
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Factors of 9058
List of positive integer factors of 9058 that divides 9058 without a remainder.
1,2,7,14,647,1294,4529,9058
Greatest Common Factor
We found the factors 219,9058 . The biggest common factor number is the GCF number.
So the greatest common factor 219,9058 is 1.
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 290/219, 6468/9058?
Answer: LCM of Numerators as per given numbers 290/219, 6468/9058 is
LCM of Numerators i.e. for 290,6468 is 937860
GCF of denominators i.e. for 219,9058 is 1.
Thus, LCM of Fractions is 937860.Finally, LCM of Fractions for 290/219, 6468/9058 is 937860.