Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/438, 82/984, 344/832 quickly i.e. 35260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/438, 82/984, 344/832 is 35260.
LCM(20/438, 82/984, 344/832) = 35260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/438,82/984,344/832
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 20,82,344
Least Common Multiple of Numerators i.e. LCM of 20,82,344 is 70520.
GCF of Denominators means GCF of 438,984,832 as per the given fractions.
GCF of 438,984,832 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,82,344
2 | 20, 82, 344 |
2 | 10, 41, 172 |
5, 41, 86 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 41 x 86 = 70520
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 20,82,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,82,344) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(20,82,344) x common factors =2 x 4 = 8
LCM(20,82,344) = ( 20 × 82 × 344 ) / 8
LCM(20,82,344) = 564160 / 8
LCM(20,82,344) = 70520
Lets's calculate GCF of 438,984,832
2 | 438, 984, 832 |
219, 492, 416 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70520/2
Therefore the LCM of Fractions 20/438,82/984,344/832 is 35260
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Factors of 984
List of positive integer factors of 984 that divides 984 without a remainder.
1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Greatest Common Factor
We found the factors 438,984,832 . The biggest common factor number is the GCF number.
So the greatest common factor 438,984,832 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 20/438, 82/984, 344/832?
Answer: LCM of Numerators as per given numbers 20/438, 82/984, 344/832 is
LCM of Numerators i.e. for 20,82,344 is 70520
GCF of denominators i.e. for 438,984,832 is 2.
Thus, LCM of Fractions is 35260.Finally, LCM of Fractions for 20/438, 82/984, 344/832 is 35260.