Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 130/28, 286/9210 quickly i.e. 715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 130/28, 286/9210 is 715.
LCM(130/28, 286/9210) = 715
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 130/28,286/9210
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 130,286
Least Common Multiple of Numerators i.e. LCM of 130,286 is 1430.
GCF of Denominators means GCF of 28,9210 as per the given fractions.
GCF of 28,9210 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 130,286
2 | 130, 286 |
13 | 65, 143 |
5, 11 |
∴ So the LCM of the given numbers is 2 x 13 x 5 x 11 = 1430
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 130,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,286) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(130,286) x common factors =26 x 1 = 26
LCM(130,286) = ( 130 × 286 ) / 26
LCM(130,286) = 37180 / 26
LCM(130,286) = 1430
Lets's calculate GCF of 28,9210
2 | 28, 9210 |
14, 4605 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1430/2
Therefore the LCM of Fractions 130/28,286/9210 is 715
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 9210
List of positive integer factors of 9210 that divides 9210 without a remainder.
1,2,3,5,6,10,15,30,307,614,921,1535,1842,3070,4605,9210
Greatest Common Factor
We found the factors 28,9210 . The biggest common factor number is the GCF number.
So the greatest common factor 28,9210 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 130/28, 286/9210?
Answer: LCM of Numerators as per given numbers 130/28, 286/9210 is
LCM of Numerators i.e. for 130,286 is 1430
GCF of denominators i.e. for 28,9210 is 2.
Thus, LCM of Fractions is 715.Finally, LCM of Fractions for 130/28, 286/9210 is 715.