Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/12, 588/70, 932/782 quickly i.e. 342510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/12, 588/70, 932/782 is 342510.
LCM(20/12, 588/70, 932/782) = 342510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/12,588/70,932/782
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 20,588,932
Least Common Multiple of Numerators i.e. LCM of 20,588,932 is 685020.
GCF of Denominators means GCF of 12,70,782 as per the given fractions.
GCF of 12,70,782 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,588,932
2 | 20, 588, 932 |
2 | 10, 294, 466 |
5, 147, 233 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 147 x 233 = 685020
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 20,588,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,588,932) = 4
common factors(in case of two or more numbers have common factors) = 4
GCF(20,588,932) x common factors =4 x 4 = 16
LCM(20,588,932) = ( 20 × 588 × 932 ) / 16
LCM(20,588,932) = 10960320 / 16
LCM(20,588,932) = 685020
Lets's calculate GCF of 12,70,782
2 | 12, 70, 782 |
6, 35, 391 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 685020/2
Therefore the LCM of Fractions 20/12,588/70,932/782 is 342510
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 12,70,782 . The biggest common factor number is the GCF number.
So the greatest common factor 12,70,782 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 20/12, 588/70, 932/782?
Answer: LCM of Numerators as per given numbers 20/12, 588/70, 932/782 is
LCM of Numerators i.e. for 20,588,932 is 685020
GCF of denominators i.e. for 12,70,782 is 2.
Thus, LCM of Fractions is 342510.Finally, LCM of Fractions for 20/12, 588/70, 932/782 is 342510.