Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/644, 754/166, 216/234 quickly i.e. 40716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/644, 754/166, 216/234 is 40716.
LCM(52/644, 754/166, 216/234) = 40716
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/644,754/166,216/234
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 52,754,216
Least Common Multiple of Numerators i.e. LCM of 52,754,216 is 81432.
GCF of Denominators means GCF of 644,166,234 as per the given fractions.
GCF of 644,166,234 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,754,216
2 | 52, 754, 216 |
2 | 26, 377, 108 |
13 | 13, 377, 54 |
1, 29, 54 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 1 x 29 x 54 = 81432
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 52,754,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,754,216) = 2
common factors(in case of two or more numbers have common factors) = 52
GCF(52,754,216) x common factors =2 x 52 = 104
LCM(52,754,216) = ( 52 × 754 × 216 ) / 104
LCM(52,754,216) = 8468928 / 104
LCM(52,754,216) = 81432
Lets's calculate GCF of 644,166,234
2 | 644, 166, 234 |
322, 83, 117 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81432/2
Therefore the LCM of Fractions 52/644,754/166,216/234 is 40716
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Greatest Common Factor
We found the factors 644,166,234 . The biggest common factor number is the GCF number.
So the greatest common factor 644,166,234 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 52/644, 754/166, 216/234?
Answer: LCM of Numerators as per given numbers 52/644, 754/166, 216/234 is
LCM of Numerators i.e. for 52,754,216 is 81432
GCF of denominators i.e. for 644,166,234 is 2.
Thus, LCM of Fractions is 40716.Finally, LCM of Fractions for 52/644, 754/166, 216/234 is 40716.