Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/22, 17/28, 31/18, 786/54 quickly i.e. 4349331 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/22, 17/28, 31/18, 786/54 is 4349331.
LCM(63/22, 17/28, 31/18, 786/54) = 4349331
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/22,17/28,31/18,786/54
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 63,17,31,786
Least Common Multiple of Numerators i.e. LCM of 63,17,31,786 is 8698662.
GCF of Denominators means GCF of 22,28,18,54 as per the given fractions.
GCF of 22,28,18,54 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,17,31,786
3 | 63, 17, 31, 786 |
21, 17, 31, 262 |
∴ So the LCM of the given numbers is 3 x 21 x 17 x 31 x 262 = 8698662
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 63,17,31,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,17,31,786) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(63,17,31,786) x common factors =1 x 3 = 3
LCM(63,17,31,786) = ( 63 × 17 × 31 × 786 ) / 3
LCM(63,17,31,786) = 26095986 / 3
LCM(63,17,31,786) = 8698662
Lets's calculate GCF of 22,28,18,54
2 | 22, 28, 18, 54 |
11, 14, 9, 27 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8698662/2
Therefore the LCM of Fractions 63/22,17/28,31/18,786/54 is 4349331
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Greatest Common Factor
We found the factors 22,28,18,54 . The biggest common factor number is the GCF number.
So the greatest common factor 22,28,18,54 is 2.
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 63/22, 17/28, 31/18, 786/54?
Answer: LCM of Numerators as per given numbers 63/22, 17/28, 31/18, 786/54 is
LCM of Numerators i.e. for 63,17,31,786 is 8698662
GCF of denominators i.e. for 22,28,18,54 is 2.
Thus, LCM of Fractions is 4349331.Finally, LCM of Fractions for 63/22, 17/28, 31/18, 786/54 is 4349331.