Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/85, 19/337, 387/140 quickly i.e. 29412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/85, 19/337, 387/140 is 29412.
LCM(12/85, 19/337, 387/140) = 29412
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/85,19/337,387/140
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 12,19,387
Least Common Multiple of Numerators i.e. LCM of 12,19,387 is 29412.
GCF of Denominators means GCF of 85,337,140 as per the given fractions.
GCF of 85,337,140 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,19,387
3 | 12, 19, 387 |
4, 19, 129 |
∴ So the LCM of the given numbers is 3 x 4 x 19 x 129 = 29412
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 12,19,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,19,387) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(12,19,387) x common factors =1 x 3 = 3
LCM(12,19,387) = ( 12 × 19 × 387 ) / 3
LCM(12,19,387) = 88236 / 3
LCM(12,19,387) = 29412
Lets's calculate GCF of 85,337,140
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29412/1
Therefore the LCM of Fractions 12/85,19/337,387/140 is 29412
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Greatest Common Factor
We found the factors 85,337,140 . The biggest common factor number is the GCF number.
So the greatest common factor 85,337,140 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 12/85, 19/337, 387/140?
Answer: LCM of Numerators as per given numbers 12/85, 19/337, 387/140 is
LCM of Numerators i.e. for 12,19,387 is 29412
GCF of denominators i.e. for 85,337,140 is 1.
Thus, LCM of Fractions is 29412.Finally, LCM of Fractions for 12/85, 19/337, 387/140 is 29412.