Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 621/72, 7590/373 quickly i.e. 68310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 621/72, 7590/373 is 68310.
LCM(621/72, 7590/373) = 68310
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 621/72,7590/373
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 621,7590
Least Common Multiple of Numerators i.e. LCM of 621,7590 is 68310.
GCF of Denominators means GCF of 72,373 as per the given fractions.
GCF of 72,373 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 621,7590
3 | 621, 7590 |
23 | 207, 2530 |
9, 110 |
∴ So the LCM of the given numbers is 3 x 23 x 9 x 110 = 68310
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 621,7590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,7590) = 69
common factors(in case of two or more numbers have common factors) = 1
GCF(621,7590) x common factors =69 x 1 = 69
LCM(621,7590) = ( 621 × 7590 ) / 69
LCM(621,7590) = 4713390 / 69
LCM(621,7590) = 68310
Lets's calculate GCF of 72,373
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68310/1
Therefore the LCM of Fractions 621/72,7590/373 is 68310
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
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 72,373 . The biggest common factor number is the GCF number.
So the greatest common factor 72,373 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 621/72, 7590/373?
Answer: LCM of Numerators as per given numbers 621/72, 7590/373 is
LCM of Numerators i.e. for 621,7590 is 68310
GCF of denominators i.e. for 72,373 is 1.
Thus, LCM of Fractions is 68310.Finally, LCM of Fractions for 621/72, 7590/373 is 68310.