Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/763, 67/513, 250/373 quickly i.e. 385250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/763, 67/513, 250/373 is 385250.
LCM(23/763, 67/513, 250/373) = 385250
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/763,67/513,250/373
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 23,67,250
Least Common Multiple of Numerators i.e. LCM of 23,67,250 is 385250.
GCF of Denominators means GCF of 763,513,373 as per the given fractions.
GCF of 763,513,373 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,67,250
Given numbers has no common factors except 1. So, there LCM is their product i.e 385250
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 23,67,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,67,250) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,67,250) x common factors =1 x 1 = 1
LCM(23,67,250) = ( 23 × 67 × 250 ) / 1
LCM(23,67,250) = 385250 / 1
LCM(23,67,250) = 385250
Lets's calculate GCF of 763,513,373
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 385250/1
Therefore the LCM of Fractions 23/763,67/513,250/373 is 385250
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Greatest Common Factor
We found the factors 763,513,373 . The biggest common factor number is the GCF number.
So the greatest common factor 763,513,373 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 23/763, 67/513, 250/373?
Answer: LCM of Numerators as per given numbers 23/763, 67/513, 250/373 is
LCM of Numerators i.e. for 23,67,250 is 385250
GCF of denominators i.e. for 763,513,373 is 1.
Thus, LCM of Fractions is 385250.Finally, LCM of Fractions for 23/763, 67/513, 250/373 is 385250.