Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 820/38, 5430/586 quickly i.e. 222630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 820/38, 5430/586 is 222630.
LCM(820/38, 5430/586) = 222630
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 820/38,5430/586
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 820,5430
Least Common Multiple of Numerators i.e. LCM of 820,5430 is 445260.
GCF of Denominators means GCF of 38,586 as per the given fractions.
GCF of 38,586 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 820,5430
2 | 820, 5430 |
5 | 410, 2715 |
82, 543 |
∴ So the LCM of the given numbers is 2 x 5 x 82 x 543 = 445260
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 820,5430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(820,5430) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(820,5430) x common factors =10 x 1 = 10
LCM(820,5430) = ( 820 × 5430 ) / 10
LCM(820,5430) = 4452600 / 10
LCM(820,5430) = 445260
Lets's calculate GCF of 38,586
2 | 38, 586 |
19, 293 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 445260/2
Therefore the LCM of Fractions 820/38,5430/586 is 222630
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Greatest Common Factor
We found the factors 38,586 . The biggest common factor number is the GCF number.
So the greatest common factor 38,586 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 820/38, 5430/586?
Answer: LCM of Numerators as per given numbers 820/38, 5430/586 is
LCM of Numerators i.e. for 820,5430 is 445260
GCF of denominators i.e. for 38,586 is 2.
Thus, LCM of Fractions is 222630.Finally, LCM of Fractions for 820/38, 5430/586 is 222630.