Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 941/82, 199/90, 472/724 quickly i.e. 44193124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 941/82, 199/90, 472/724 is 44193124.
LCM(941/82, 199/90, 472/724) = 44193124
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 941/82,199/90,472/724
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 941,199,472
Least Common Multiple of Numerators i.e. LCM of 941,199,472 is 88386248.
GCF of Denominators means GCF of 82,90,724 as per the given fractions.
GCF of 82,90,724 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 941,199,472
Given numbers has no common factors except 1. So, there LCM is their product i.e 88386248
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 941,199,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(941,199,472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(941,199,472) x common factors =1 x 1 = 1
LCM(941,199,472) = ( 941 × 199 × 472 ) / 1
LCM(941,199,472) = 88386248 / 1
LCM(941,199,472) = 88386248
Lets's calculate GCF of 82,90,724
2 | 82, 90, 724 |
41, 45, 362 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88386248/2
Therefore the LCM of Fractions 941/82,199/90,472/724 is 44193124
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Greatest Common Factor
We found the factors 82,90,724 . The biggest common factor number is the GCF number.
So the greatest common factor 82,90,724 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 941/82, 199/90, 472/724?
Answer: LCM of Numerators as per given numbers 941/82, 199/90, 472/724 is
LCM of Numerators i.e. for 941,199,472 is 88386248
GCF of denominators i.e. for 82,90,724 is 2.
Thus, LCM of Fractions is 44193124.Finally, LCM of Fractions for 941/82, 199/90, 472/724 is 44193124.