Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3104/862, 4629/2716 quickly i.e. 7184208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3104/862, 4629/2716 is 7184208.
LCM(3104/862, 4629/2716) = 7184208
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3104/862,4629/2716
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 3104,4629
Least Common Multiple of Numerators i.e. LCM of 3104,4629 is 14368416.
GCF of Denominators means GCF of 862,2716 as per the given fractions.
GCF of 862,2716 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3104,4629
Given numbers has no common factors except 1. So, there LCM is their product i.e 14368416
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 3104,4629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3104,4629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3104,4629) x common factors =1 x 1 = 1
LCM(3104,4629) = ( 3104 × 4629 ) / 1
LCM(3104,4629) = 14368416 / 1
LCM(3104,4629) = 14368416
Lets's calculate GCF of 862,2716
2 | 862, 2716 |
431, 1358 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14368416/2
Therefore the LCM of Fractions 3104/862,4629/2716 is 7184208
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Factors of 2716
List of positive integer factors of 2716 that divides 2716 without a remainder.
1,2,4,7,14,28,97,194,388,679,1358,2716
Greatest Common Factor
We found the factors 862,2716 . The biggest common factor number is the GCF number.
So the greatest common factor 862,2716 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 3104/862, 4629/2716?
Answer: LCM of Numerators as per given numbers 3104/862, 4629/2716 is
LCM of Numerators i.e. for 3104,4629 is 14368416
GCF of denominators i.e. for 862,2716 is 2.
Thus, LCM of Fractions is 7184208.Finally, LCM of Fractions for 3104/862, 4629/2716 is 7184208.