Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 862/48, 407/3807 quickly i.e. 350834/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 862/48, 407/3807 is 350834/3.
LCM(862/48, 407/3807) = 350834/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 862/48,407/3807
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 862,407
Least Common Multiple of Numerators i.e. LCM of 862,407 is 350834.
GCF of Denominators means GCF of 48,3807 as per the given fractions.
GCF of 48,3807 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 862,407
Given numbers has no common factors except 1. So, there LCM is their product i.e 350834
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 862,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(862,407) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(862,407) x common factors =1 x 1 = 1
LCM(862,407) = ( 862 × 407 ) / 1
LCM(862,407) = 350834 / 1
LCM(862,407) = 350834
Lets's calculate GCF of 48,3807
3 | 48, 3807 |
16, 1269 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 350834/3
Therefore the LCM of Fractions 862/48,407/3807 is 350834/3
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 3807
List of positive integer factors of 3807 that divides 3807 without a remainder.
1,3,9,27,47,81,141,423,1269,3807
Greatest Common Factor
We found the factors 48,3807 . The biggest common factor number is the GCF number.
So the greatest common factor 48,3807 is 3.
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 862/48, 407/3807?
Answer: LCM of Numerators as per given numbers 862/48, 407/3807 is
LCM of Numerators i.e. for 862,407 is 350834
GCF of denominators i.e. for 48,3807 is 3.
Thus, LCM of Fractions is 350834/3.Finally, LCM of Fractions for 862/48, 407/3807 is 350834/3.