Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 26/920, 9857/3260 quickly i.e. 256282/20 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 26/920, 9857/3260 is 256282/20.
LCM(26/920, 9857/3260) = 256282/20
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 26/920,9857/3260
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 26,9857
Least Common Multiple of Numerators i.e. LCM of 26,9857 is 256282.
GCF of Denominators means GCF of 920,3260 as per the given fractions.
GCF of 920,3260 is 20 as it is the largest common factor for these numbers.
Lets's calculate LCM of 26,9857
Given numbers has no common factors except 1. So, there LCM is their product i.e 256282
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 26,9857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,9857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,9857) x common factors =1 x 1 = 1
LCM(26,9857) = ( 26 × 9857 ) / 1
LCM(26,9857) = 256282 / 1
LCM(26,9857) = 256282
Lets's calculate GCF of 920,3260
2 | 920, 3260 |
2 | 460, 1630 |
5 | 230, 815 |
46, 163 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 256282/20
Therefore the LCM of Fractions 26/920,9857/3260 is 256282/20
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Factors of 3260
List of positive integer factors of 3260 that divides 3260 without a remainder.
1,2,4,5,10,20,163,326,652,815,1630,3260
Greatest Common Factor
We found the factors 920,3260 . The biggest common factor number is the GCF number.
So the greatest common factor 920,3260 is 20.
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 26/920, 9857/3260?
Answer: LCM of Numerators as per given numbers 26/920, 9857/3260 is
LCM of Numerators i.e. for 26,9857 is 256282
GCF of denominators i.e. for 920,3260 is 20.
Thus, LCM of Fractions is 256282/20.Finally, LCM of Fractions for 26/920, 9857/3260 is 256282/20.