Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/806, 949/925, 315/673 quickly i.e. 2391480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/806, 949/925, 315/673 is 2391480.
LCM(72/806, 949/925, 315/673) = 2391480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/806,949/925,315/673
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 72,949,315
Least Common Multiple of Numerators i.e. LCM of 72,949,315 is 2391480.
GCF of Denominators means GCF of 806,925,673 as per the given fractions.
GCF of 806,925,673 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,949,315
3 | 72, 949, 315 |
3 | 24, 949, 105 |
8, 949, 35 |
∴ So the LCM of the given numbers is 3 x 3 x 8 x 949 x 35 = 2391480
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 72,949,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,949,315) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(72,949,315) x common factors =1 x 9 = 9
LCM(72,949,315) = ( 72 × 949 × 315 ) / 9
LCM(72,949,315) = 21523320 / 9
LCM(72,949,315) = 2391480
Lets's calculate GCF of 806,925,673
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2391480/1
Therefore the LCM of Fractions 72/806,949/925,315/673 is 2391480
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Factors of 673
List of positive integer factors of 673 that divides 673 without a remainder.
1,673
Greatest Common Factor
We found the factors 806,925,673 . The biggest common factor number is the GCF number.
So the greatest common factor 806,925,673 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 72/806, 949/925, 315/673?
Answer: LCM of Numerators as per given numbers 72/806, 949/925, 315/673 is
LCM of Numerators i.e. for 72,949,315 is 2391480
GCF of denominators i.e. for 806,925,673 is 1.
Thus, LCM of Fractions is 2391480.Finally, LCM of Fractions for 72/806, 949/925, 315/673 is 2391480.