Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 45/188, 29/304, 505/510 quickly i.e. 131805/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 45/188, 29/304, 505/510 is 131805/2.
LCM(45/188, 29/304, 505/510) = 131805/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 45/188,29/304,505/510
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 45,29,505
Least Common Multiple of Numerators i.e. LCM of 45,29,505 is 131805.
GCF of Denominators means GCF of 188,304,510 as per the given fractions.
GCF of 188,304,510 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 45,29,505
5 | 45, 29, 505 |
9, 29, 101 |
∴ So the LCM of the given numbers is 5 x 9 x 29 x 101 = 131805
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 45,29,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,29,505) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(45,29,505) x common factors =1 x 5 = 5
LCM(45,29,505) = ( 45 × 29 × 505 ) / 5
LCM(45,29,505) = 659025 / 5
LCM(45,29,505) = 131805
Lets's calculate GCF of 188,304,510
2 | 188, 304, 510 |
94, 152, 255 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131805/2
Therefore the LCM of Fractions 45/188,29/304,505/510 is 131805/2
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 304
List of positive integer factors of 304 that divides 304 without a remainder.
1,2,4,8,16,19,38,76,152,304
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Greatest Common Factor
We found the factors 188,304,510 . The biggest common factor number is the GCF number.
So the greatest common factor 188,304,510 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 45/188, 29/304, 505/510?
Answer: LCM of Numerators as per given numbers 45/188, 29/304, 505/510 is
LCM of Numerators i.e. for 45,29,505 is 131805
GCF of denominators i.e. for 188,304,510 is 2.
Thus, LCM of Fractions is 131805/2.Finally, LCM of Fractions for 45/188, 29/304, 505/510 is 131805/2.