Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/15, 34/42, 81/28, 36/645 quickly i.e. 5508 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/15, 34/42, 81/28, 36/645 is 5508.
LCM(12/15, 34/42, 81/28, 36/645) = 5508
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/15,34/42,81/28,36/645
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 12,34,81,36
Least Common Multiple of Numerators i.e. LCM of 12,34,81,36 is 5508.
GCF of Denominators means GCF of 15,42,28,645 as per the given fractions.
GCF of 15,42,28,645 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,34,81,36
2 | 12, 34, 81, 36 |
2 | 6, 17, 81, 18 |
3 | 3, 17, 81, 9 |
3 | 1, 17, 27, 3 |
1, 17, 9, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 17 x 9 x 1 = 5508
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 12,34,81,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,34,81,36) = 1
common factors(in case of two or more numbers have common factors) = 216
GCF(12,34,81,36) x common factors =1 x 216 = 216
LCM(12,34,81,36) = ( 12 × 34 × 81 × 36 ) / 216
LCM(12,34,81,36) = 1189728 / 216
LCM(12,34,81,36) = 5508
Lets's calculate GCF of 15,42,28,645
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5508/1
Therefore the LCM of Fractions 12/15,34/42,81/28,36/645 is 5508
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 645
List of positive integer factors of 645 that divides 645 without a remainder.
1,3,5,15,43,129,215,645
Greatest Common Factor
We found the factors 15,42,28,645 . The biggest common factor number is the GCF number.
So the greatest common factor 15,42,28,645 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 12/15, 34/42, 81/28, 36/645?
Answer: LCM of Numerators as per given numbers 12/15, 34/42, 81/28, 36/645 is
LCM of Numerators i.e. for 12,34,81,36 is 5508
GCF of denominators i.e. for 15,42,28,645 is 1.
Thus, LCM of Fractions is 5508.Finally, LCM of Fractions for 12/15, 34/42, 81/28, 36/645 is 5508.