Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 500/599, 253/197, 345/323 quickly i.e. 379500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 500/599, 253/197, 345/323 is 379500.
LCM(500/599, 253/197, 345/323) = 379500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 500/599,253/197,345/323
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 500,253,345
Least Common Multiple of Numerators i.e. LCM of 500,253,345 is 379500.
GCF of Denominators means GCF of 599,197,323 as per the given fractions.
GCF of 599,197,323 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 500,253,345
5 | 500, 253, 345 |
23 | 100, 253, 69 |
100, 11, 3 |
∴ So the LCM of the given numbers is 5 x 23 x 100 x 11 x 3 = 379500
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 500,253,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,253,345) = 1
common factors(in case of two or more numbers have common factors) = 115
GCF(500,253,345) x common factors =1 x 115 = 115
LCM(500,253,345) = ( 500 × 253 × 345 ) / 115
LCM(500,253,345) = 43642500 / 115
LCM(500,253,345) = 379500
Lets's calculate GCF of 599,197,323
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 379500/1
Therefore the LCM of Fractions 500/599,253/197,345/323 is 379500
Factors of 599
List of positive integer factors of 599 that divides 599 without a remainder.
1,599
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Greatest Common Factor
We found the factors 599,197,323 . The biggest common factor number is the GCF number.
So the greatest common factor 599,197,323 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 500/599, 253/197, 345/323?
Answer: LCM of Numerators as per given numbers 500/599, 253/197, 345/323 is
LCM of Numerators i.e. for 500,253,345 is 379500
GCF of denominators i.e. for 599,197,323 is 1.
Thus, LCM of Fractions is 379500.Finally, LCM of Fractions for 500/599, 253/197, 345/323 is 379500.