Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/185, 72/859, 132/474 quickly i.e. 15048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/185, 72/859, 132/474 is 15048.
LCM(38/185, 72/859, 132/474) = 15048
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/185,72/859,132/474
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 38,72,132
Least Common Multiple of Numerators i.e. LCM of 38,72,132 is 15048.
GCF of Denominators means GCF of 185,859,474 as per the given fractions.
GCF of 185,859,474 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,72,132
2 | 38, 72, 132 |
2 | 19, 36, 66 |
3 | 19, 18, 33 |
19, 6, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 6 x 11 = 15048
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 38,72,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,72,132) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(38,72,132) x common factors =2 x 12 = 24
LCM(38,72,132) = ( 38 × 72 × 132 ) / 24
LCM(38,72,132) = 361152 / 24
LCM(38,72,132) = 15048
Lets's calculate GCF of 185,859,474
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15048/1
Therefore the LCM of Fractions 38/185,72/859,132/474 is 15048
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 185,859,474 . The biggest common factor number is the GCF number.
So the greatest common factor 185,859,474 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 38/185, 72/859, 132/474?
Answer: LCM of Numerators as per given numbers 38/185, 72/859, 132/474 is
LCM of Numerators i.e. for 38,72,132 is 15048
GCF of denominators i.e. for 185,859,474 is 1.
Thus, LCM of Fractions is 15048.Finally, LCM of Fractions for 38/185, 72/859, 132/474 is 15048.