Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3862/949, 4155/646 quickly i.e. 16046610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3862/949, 4155/646 is 16046610.
LCM(3862/949, 4155/646) = 16046610
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3862/949,4155/646
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 3862,4155
Least Common Multiple of Numerators i.e. LCM of 3862,4155 is 16046610.
GCF of Denominators means GCF of 949,646 as per the given fractions.
GCF of 949,646 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3862,4155
Given numbers has no common factors except 1. So, there LCM is their product i.e 16046610
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 3862,4155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3862,4155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3862,4155) x common factors =1 x 1 = 1
LCM(3862,4155) = ( 3862 × 4155 ) / 1
LCM(3862,4155) = 16046610 / 1
LCM(3862,4155) = 16046610
Lets's calculate GCF of 949,646
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16046610/1
Therefore the LCM of Fractions 3862/949,4155/646 is 16046610
Factors of 949
List of positive integer factors of 949 that divides 949 without a remainder.
1,13,73,949
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 949,646 . The biggest common factor number is the GCF number.
So the greatest common factor 949,646 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 3862/949, 4155/646?
Answer: LCM of Numerators as per given numbers 3862/949, 4155/646 is
LCM of Numerators i.e. for 3862,4155 is 16046610
GCF of denominators i.e. for 949,646 is 1.
Thus, LCM of Fractions is 16046610.Finally, LCM of Fractions for 3862/949, 4155/646 is 16046610.