Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 410/246, 5436/863 quickly i.e. 1114380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 410/246, 5436/863 is 1114380.
LCM(410/246, 5436/863) = 1114380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 410/246,5436/863
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 410,5436
Least Common Multiple of Numerators i.e. LCM of 410,5436 is 1114380.
GCF of Denominators means GCF of 246,863 as per the given fractions.
GCF of 246,863 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 410,5436
2 | 410, 5436 |
205, 2718 |
∴ So the LCM of the given numbers is 2 x 205 x 2718 = 1114380
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 410,5436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(410,5436) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(410,5436) x common factors =2 x 1 = 2
LCM(410,5436) = ( 410 × 5436 ) / 2
LCM(410,5436) = 2228760 / 2
LCM(410,5436) = 1114380
Lets's calculate GCF of 246,863
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1114380/1
Therefore the LCM of Fractions 410/246,5436/863 is 1114380
Factors of 246
List of positive integer factors of 246 that divides 246 without a remainder.
1,2,3,6,41,82,123,246
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Greatest Common Factor
We found the factors 246,863 . The biggest common factor number is the GCF number.
So the greatest common factor 246,863 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 410/246, 5436/863?
Answer: LCM of Numerators as per given numbers 410/246, 5436/863 is
LCM of Numerators i.e. for 410,5436 is 1114380
GCF of denominators i.e. for 246,863 is 1.
Thus, LCM of Fractions is 1114380.Finally, LCM of Fractions for 410/246, 5436/863 is 1114380.