Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 374/43, 816/54, 987/295 quickly i.e. 2953104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 374/43, 816/54, 987/295 is 2953104.
LCM(374/43, 816/54, 987/295) = 2953104
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 374/43,816/54,987/295
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 374,816,987
Least Common Multiple of Numerators i.e. LCM of 374,816,987 is 2953104.
GCF of Denominators means GCF of 43,54,295 as per the given fractions.
GCF of 43,54,295 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 374,816,987
2 | 374, 816, 987 |
3 | 187, 408, 987 |
17 | 187, 136, 329 |
11, 8, 329 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 11 x 8 x 329 = 2953104
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 374,816,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,816,987) = 1
common factors(in case of two or more numbers have common factors) = 102
GCF(374,816,987) x common factors =1 x 102 = 102
LCM(374,816,987) = ( 374 × 816 × 987 ) / 102
LCM(374,816,987) = 301216608 / 102
LCM(374,816,987) = 2953104
Lets's calculate GCF of 43,54,295
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2953104/1
Therefore the LCM of Fractions 374/43,816/54,987/295 is 2953104
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
Greatest Common Factor
We found the factors 43,54,295 . The biggest common factor number is the GCF number.
So the greatest common factor 43,54,295 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 374/43, 816/54, 987/295?
Answer: LCM of Numerators as per given numbers 374/43, 816/54, 987/295 is
LCM of Numerators i.e. for 374,816,987 is 2953104
GCF of denominators i.e. for 43,54,295 is 1.
Thus, LCM of Fractions is 2953104.Finally, LCM of Fractions for 374/43, 816/54, 987/295 is 2953104.