Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2985/874, 8150/2246 quickly i.e. 2432775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2985/874, 8150/2246 is 2432775.
LCM(2985/874, 8150/2246) = 2432775
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2985/874,8150/2246
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 2985,8150
Least Common Multiple of Numerators i.e. LCM of 2985,8150 is 4865550.
GCF of Denominators means GCF of 874,2246 as per the given fractions.
GCF of 874,2246 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2985,8150
5 | 2985, 8150 |
597, 1630 |
∴ So the LCM of the given numbers is 5 x 597 x 1630 = 4865550
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 2985,8150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2985,8150) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(2985,8150) x common factors =5 x 1 = 5
LCM(2985,8150) = ( 2985 × 8150 ) / 5
LCM(2985,8150) = 24327750 / 5
LCM(2985,8150) = 4865550
Lets's calculate GCF of 874,2246
2 | 874, 2246 |
437, 1123 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4865550/2
Therefore the LCM of Fractions 2985/874,8150/2246 is 2432775
Factors of 874
List of positive integer factors of 874 that divides 874 without a remainder.
1,2,19,23,38,46,437,874
Factors of 2246
List of positive integer factors of 2246 that divides 2246 without a remainder.
1,2,1123,2246
Greatest Common Factor
We found the factors 874,2246 . The biggest common factor number is the GCF number.
So the greatest common factor 874,2246 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 2985/874, 8150/2246?
Answer: LCM of Numerators as per given numbers 2985/874, 8150/2246 is
LCM of Numerators i.e. for 2985,8150 is 4865550
GCF of denominators i.e. for 874,2246 is 2.
Thus, LCM of Fractions is 2432775.Finally, LCM of Fractions for 2985/874, 8150/2246 is 2432775.