Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/453, 29/237 quickly i.e. 1711/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/453, 29/237 is 1711/3.
LCM(59/453, 29/237) = 1711/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/453,29/237
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 59,29
Least Common Multiple of Numerators i.e. LCM of 59,29 is 1711.
GCF of Denominators means GCF of 453,237 as per the given fractions.
GCF of 453,237 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,29
Given numbers has no common factors except 1. So, there LCM is their product i.e 1711
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 59,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,29) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,29) x common factors =1 x 1 = 1
LCM(59,29) = ( 59 × 29 ) / 1
LCM(59,29) = 1711 / 1
LCM(59,29) = 1711
Lets's calculate GCF of 453,237
3 | 453, 237 |
151, 79 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1711/3
Therefore the LCM of Fractions 59/453,29/237 is 1711/3
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Greatest Common Factor
We found the factors 453,237 . The biggest common factor number is the GCF number.
So the greatest common factor 453,237 is 3.
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 59/453, 29/237?
Answer: LCM of Numerators as per given numbers 59/453, 29/237 is
LCM of Numerators i.e. for 59,29 is 1711
GCF of denominators i.e. for 453,237 is 3.
Thus, LCM of Fractions is 1711/3.Finally, LCM of Fractions for 59/453, 29/237 is 1711/3.