Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/52, 646/28, 260/842 quickly i.e. 1721590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/52, 646/28, 260/842 is 1721590.
LCM(82/52, 646/28, 260/842) = 1721590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/52,646/28,260/842
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 82,646,260
Least Common Multiple of Numerators i.e. LCM of 82,646,260 is 3443180.
GCF of Denominators means GCF of 52,28,842 as per the given fractions.
GCF of 52,28,842 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,646,260
2 | 82, 646, 260 |
41, 323, 130 |
∴ So the LCM of the given numbers is 2 x 41 x 323 x 130 = 3443180
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 82,646,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,646,260) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(82,646,260) x common factors =2 x 2 = 4
LCM(82,646,260) = ( 82 × 646 × 260 ) / 4
LCM(82,646,260) = 13772720 / 4
LCM(82,646,260) = 3443180
Lets's calculate GCF of 52,28,842
2 | 52, 28, 842 |
26, 14, 421 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3443180/2
Therefore the LCM of Fractions 82/52,646/28,260/842 is 1721590
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Greatest Common Factor
We found the factors 52,28,842 . The biggest common factor number is the GCF number.
So the greatest common factor 52,28,842 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 82/52, 646/28, 260/842?
Answer: LCM of Numerators as per given numbers 82/52, 646/28, 260/842 is
LCM of Numerators i.e. for 82,646,260 is 3443180
GCF of denominators i.e. for 52,28,842 is 2.
Thus, LCM of Fractions is 1721590.Finally, LCM of Fractions for 82/52, 646/28, 260/842 is 1721590.