Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8645/226, 2585/698 quickly i.e. 4469465/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8645/226, 2585/698 is 4469465/2.
LCM(8645/226, 2585/698) = 4469465/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8645/226,2585/698
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 8645,2585
Least Common Multiple of Numerators i.e. LCM of 8645,2585 is 4469465.
GCF of Denominators means GCF of 226,698 as per the given fractions.
GCF of 226,698 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8645,2585
5 | 8645, 2585 |
1729, 517 |
∴ So the LCM of the given numbers is 5 x 1729 x 517 = 4469465
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 8645,2585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8645,2585) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(8645,2585) x common factors =5 x 1 = 5
LCM(8645,2585) = ( 8645 × 2585 ) / 5
LCM(8645,2585) = 22347325 / 5
LCM(8645,2585) = 4469465
Lets's calculate GCF of 226,698
2 | 226, 698 |
113, 349 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4469465/2
Therefore the LCM of Fractions 8645/226,2585/698 is 4469465/2
Factors of 226
List of positive integer factors of 226 that divides 226 without a remainder.
1,2,113,226
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Greatest Common Factor
We found the factors 226,698 . The biggest common factor number is the GCF number.
So the greatest common factor 226,698 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 8645/226, 2585/698?
Answer: LCM of Numerators as per given numbers 8645/226, 2585/698 is
LCM of Numerators i.e. for 8645,2585 is 4469465
GCF of denominators i.e. for 226,698 is 2.
Thus, LCM of Fractions is 4469465/2.Finally, LCM of Fractions for 8645/226, 2585/698 is 4469465/2.