Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 715/75, 4554/643 quickly i.e. 296010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 715/75, 4554/643 is 296010.
LCM(715/75, 4554/643) = 296010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 715/75,4554/643
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 715,4554
Least Common Multiple of Numerators i.e. LCM of 715,4554 is 296010.
GCF of Denominators means GCF of 75,643 as per the given fractions.
GCF of 75,643 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 715,4554
11 | 715, 4554 |
65, 414 |
∴ So the LCM of the given numbers is 11 x 65 x 414 = 296010
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 715,4554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,4554) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(715,4554) x common factors =11 x 1 = 11
LCM(715,4554) = ( 715 × 4554 ) / 11
LCM(715,4554) = 3256110 / 11
LCM(715,4554) = 296010
Lets's calculate GCF of 75,643
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 296010/1
Therefore the LCM of Fractions 715/75,4554/643 is 296010
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 643
List of positive integer factors of 643 that divides 643 without a remainder.
1,643
Greatest Common Factor
We found the factors 75,643 . The biggest common factor number is the GCF number.
So the greatest common factor 75,643 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 715/75, 4554/643?
Answer: LCM of Numerators as per given numbers 715/75, 4554/643 is
LCM of Numerators i.e. for 715,4554 is 296010
GCF of denominators i.e. for 75,643 is 1.
Thus, LCM of Fractions is 296010.Finally, LCM of Fractions for 715/75, 4554/643 is 296010.