Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9230/870, 9494/247 quickly i.e. 43814810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9230/870, 9494/247 is 43814810.
LCM(9230/870, 9494/247) = 43814810
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9230/870,9494/247
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 9230,9494
Least Common Multiple of Numerators i.e. LCM of 9230,9494 is 43814810.
GCF of Denominators means GCF of 870,247 as per the given fractions.
GCF of 870,247 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9230,9494
2 | 9230, 9494 |
4615, 4747 |
∴ So the LCM of the given numbers is 2 x 4615 x 4747 = 43814810
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 9230,9494 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9230,9494) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9230,9494) x common factors =2 x 1 = 2
LCM(9230,9494) = ( 9230 × 9494 ) / 2
LCM(9230,9494) = 87629620 / 2
LCM(9230,9494) = 43814810
Lets's calculate GCF of 870,247
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43814810/1
Therefore the LCM of Fractions 9230/870,9494/247 is 43814810
Factors of 870
List of positive integer factors of 870 that divides 870 without a remainder.
1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Factors of 247
List of positive integer factors of 247 that divides 247 without a remainder.
1,13,19,247
Greatest Common Factor
We found the factors 870,247 . The biggest common factor number is the GCF number.
So the greatest common factor 870,247 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 9230/870, 9494/247?
Answer: LCM of Numerators as per given numbers 9230/870, 9494/247 is
LCM of Numerators i.e. for 9230,9494 is 43814810
GCF of denominators i.e. for 870,247 is 1.
Thus, LCM of Fractions is 43814810.Finally, LCM of Fractions for 9230/870, 9494/247 is 43814810.