Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 191/946, 741/404, 372/665 quickly i.e. 17549844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 191/946, 741/404, 372/665 is 17549844.
LCM(191/946, 741/404, 372/665) = 17549844
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 191/946,741/404,372/665
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 191,741,372
Least Common Multiple of Numerators i.e. LCM of 191,741,372 is 17549844.
GCF of Denominators means GCF of 946,404,665 as per the given fractions.
GCF of 946,404,665 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 191,741,372
3 | 191, 741, 372 |
191, 247, 124 |
∴ So the LCM of the given numbers is 3 x 191 x 247 x 124 = 17549844
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 191,741,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(191,741,372) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(191,741,372) x common factors =1 x 3 = 3
LCM(191,741,372) = ( 191 × 741 × 372 ) / 3
LCM(191,741,372) = 52649532 / 3
LCM(191,741,372) = 17549844
Lets's calculate GCF of 946,404,665
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17549844/1
Therefore the LCM of Fractions 191/946,741/404,372/665 is 17549844
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Factors of 404
List of positive integer factors of 404 that divides 404 without a remainder.
1,2,4,101,202,404
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Greatest Common Factor
We found the factors 946,404,665 . The biggest common factor number is the GCF number.
So the greatest common factor 946,404,665 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 191/946, 741/404, 372/665?
Answer: LCM of Numerators as per given numbers 191/946, 741/404, 372/665 is
LCM of Numerators i.e. for 191,741,372 is 17549844
GCF of denominators i.e. for 946,404,665 is 1.
Thus, LCM of Fractions is 17549844.Finally, LCM of Fractions for 191/946, 741/404, 372/665 is 17549844.