Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 890/124, 3632/4471 quickly i.e. 1616240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 890/124, 3632/4471 is 1616240.
LCM(890/124, 3632/4471) = 1616240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 890/124,3632/4471
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 890,3632
Least Common Multiple of Numerators i.e. LCM of 890,3632 is 1616240.
GCF of Denominators means GCF of 124,4471 as per the given fractions.
GCF of 124,4471 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 890,3632
2 | 890, 3632 |
445, 1816 |
∴ So the LCM of the given numbers is 2 x 445 x 1816 = 1616240
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 890,3632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,3632) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(890,3632) x common factors =2 x 1 = 2
LCM(890,3632) = ( 890 × 3632 ) / 2
LCM(890,3632) = 3232480 / 2
LCM(890,3632) = 1616240
Lets's calculate GCF of 124,4471
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1616240/1
Therefore the LCM of Fractions 890/124,3632/4471 is 1616240
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 4471
List of positive integer factors of 4471 that divides 4471 without a remainder.
1,17,263,4471
Greatest Common Factor
We found the factors 124,4471 . The biggest common factor number is the GCF number.
So the greatest common factor 124,4471 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 890/124, 3632/4471?
Answer: LCM of Numerators as per given numbers 890/124, 3632/4471 is
LCM of Numerators i.e. for 890,3632 is 1616240
GCF of denominators i.e. for 124,4471 is 1.
Thus, LCM of Fractions is 1616240.Finally, LCM of Fractions for 890/124, 3632/4471 is 1616240.