Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/302, 45/257, 500/144 quickly i.e. 265500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/302, 45/257, 500/144 is 265500.
LCM(59/302, 45/257, 500/144) = 265500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/302,45/257,500/144
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 59,45,500
Least Common Multiple of Numerators i.e. LCM of 59,45,500 is 265500.
GCF of Denominators means GCF of 302,257,144 as per the given fractions.
GCF of 302,257,144 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,45,500
5 | 59, 45, 500 |
59, 9, 100 |
∴ So the LCM of the given numbers is 5 x 59 x 9 x 100 = 265500
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 59,45,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,45,500) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(59,45,500) x common factors =1 x 5 = 5
LCM(59,45,500) = ( 59 × 45 × 500 ) / 5
LCM(59,45,500) = 1327500 / 5
LCM(59,45,500) = 265500
Lets's calculate GCF of 302,257,144
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265500/1
Therefore the LCM of Fractions 59/302,45/257,500/144 is 265500
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Factors of 144
List of positive integer factors of 144 that divides 144 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Greatest Common Factor
We found the factors 302,257,144 . The biggest common factor number is the GCF number.
So the greatest common factor 302,257,144 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 59/302, 45/257, 500/144?
Answer: LCM of Numerators as per given numbers 59/302, 45/257, 500/144 is
LCM of Numerators i.e. for 59,45,500 is 265500
GCF of denominators i.e. for 302,257,144 is 1.
Thus, LCM of Fractions is 265500.Finally, LCM of Fractions for 59/302, 45/257, 500/144 is 265500.