Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/72, 94/204, 249/234 quickly i.e. 159941 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/72, 94/204, 249/234 is 159941.
LCM(41/72, 94/204, 249/234) = 159941
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/72,94/204,249/234
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 41,94,249
Least Common Multiple of Numerators i.e. LCM of 41,94,249 is 959646.
GCF of Denominators means GCF of 72,204,234 as per the given fractions.
GCF of 72,204,234 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,94,249
Given numbers has no common factors except 1. So, there LCM is their product i.e 959646
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 41,94,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,94,249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,94,249) x common factors =1 x 1 = 1
LCM(41,94,249) = ( 41 × 94 × 249 ) / 1
LCM(41,94,249) = 959646 / 1
LCM(41,94,249) = 959646
Lets's calculate GCF of 72,204,234
2 | 72, 204, 234 |
3 | 36, 102, 117 |
12, 34, 39 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 959646/6
Therefore the LCM of Fractions 41/72,94/204,249/234 is 159941
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 72,204,234 . The biggest common factor number is the GCF number.
So the greatest common factor 72,204,234 is 6.
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 41/72, 94/204, 249/234?
Answer: LCM of Numerators as per given numbers 41/72, 94/204, 249/234 is
LCM of Numerators i.e. for 41,94,249 is 959646
GCF of denominators i.e. for 72,204,234 is 6.
Thus, LCM of Fractions is 159941.Finally, LCM of Fractions for 41/72, 94/204, 249/234 is 159941.