Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3686/468, 2204/185 quickly i.e. 213788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3686/468, 2204/185 is 213788.
LCM(3686/468, 2204/185) = 213788
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3686/468,2204/185
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 3686,2204
Least Common Multiple of Numerators i.e. LCM of 3686,2204 is 213788.
GCF of Denominators means GCF of 468,185 as per the given fractions.
GCF of 468,185 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3686,2204
2 | 3686, 2204 |
19 | 1843, 1102 |
97, 58 |
∴ So the LCM of the given numbers is 2 x 19 x 97 x 58 = 213788
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 3686,2204 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3686,2204) = 38
common factors(in case of two or more numbers have common factors) = 1
GCF(3686,2204) x common factors =38 x 1 = 38
LCM(3686,2204) = ( 3686 × 2204 ) / 38
LCM(3686,2204) = 8123944 / 38
LCM(3686,2204) = 213788
Lets's calculate GCF of 468,185
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213788/1
Therefore the LCM of Fractions 3686/468,2204/185 is 213788
Factors of 468
List of positive integer factors of 468 that divides 468 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Greatest Common Factor
We found the factors 468,185 . The biggest common factor number is the GCF number.
So the greatest common factor 468,185 is 1.
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 3686/468, 2204/185?
Answer: LCM of Numerators as per given numbers 3686/468, 2204/185 is
LCM of Numerators i.e. for 3686,2204 is 213788
GCF of denominators i.e. for 468,185 is 1.
Thus, LCM of Fractions is 213788.Finally, LCM of Fractions for 3686/468, 2204/185 is 213788.