Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/216, 50/623, 603/524 quickly i.e. 331650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/216, 50/623, 603/524 is 331650.
LCM(66/216, 50/623, 603/524) = 331650
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/216,50/623,603/524
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 66,50,603
Least Common Multiple of Numerators i.e. LCM of 66,50,603 is 331650.
GCF of Denominators means GCF of 216,623,524 as per the given fractions.
GCF of 216,623,524 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,50,603
2 | 66, 50, 603 |
3 | 33, 25, 603 |
11, 25, 201 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 25 x 201 = 331650
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 66,50,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,50,603) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(66,50,603) x common factors =1 x 6 = 6
LCM(66,50,603) = ( 66 × 50 × 603 ) / 6
LCM(66,50,603) = 1989900 / 6
LCM(66,50,603) = 331650
Lets's calculate GCF of 216,623,524
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 331650/1
Therefore the LCM of Fractions 66/216,50/623,603/524 is 331650
Factors of 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Factors of 524
List of positive integer factors of 524 that divides 524 without a remainder.
1,2,4,131,262,524
Greatest Common Factor
We found the factors 216,623,524 . The biggest common factor number is the GCF number.
So the greatest common factor 216,623,524 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 66/216, 50/623, 603/524?
Answer: LCM of Numerators as per given numbers 66/216, 50/623, 603/524 is
LCM of Numerators i.e. for 66,50,603 is 331650
GCF of denominators i.e. for 216,623,524 is 1.
Thus, LCM of Fractions is 331650.Finally, LCM of Fractions for 66/216, 50/623, 603/524 is 331650.