Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1550/618, 2906/8491 quickly i.e. 2252150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1550/618, 2906/8491 is 2252150.
LCM(1550/618, 2906/8491) = 2252150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1550/618,2906/8491
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 1550,2906
Least Common Multiple of Numerators i.e. LCM of 1550,2906 is 2252150.
GCF of Denominators means GCF of 618,8491 as per the given fractions.
GCF of 618,8491 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1550,2906
2 | 1550, 2906 |
775, 1453 |
∴ So the LCM of the given numbers is 2 x 775 x 1453 = 2252150
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 1550,2906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1550,2906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1550,2906) x common factors =2 x 1 = 2
LCM(1550,2906) = ( 1550 × 2906 ) / 2
LCM(1550,2906) = 4504300 / 2
LCM(1550,2906) = 2252150
Lets's calculate GCF of 618,8491
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2252150/1
Therefore the LCM of Fractions 1550/618,2906/8491 is 2252150
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Factors of 8491
List of positive integer factors of 8491 that divides 8491 without a remainder.
1,7,1213,8491
Greatest Common Factor
We found the factors 618,8491 . The biggest common factor number is the GCF number.
So the greatest common factor 618,8491 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 1550/618, 2906/8491?
Answer: LCM of Numerators as per given numbers 1550/618, 2906/8491 is
LCM of Numerators i.e. for 1550,2906 is 2252150
GCF of denominators i.e. for 618,8491 is 1.
Thus, LCM of Fractions is 2252150.Finally, LCM of Fractions for 1550/618, 2906/8491 is 2252150.