Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/863, 800/670, 825/681 quickly i.e. 79200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/863, 800/670, 825/681 is 79200.
LCM(72/863, 800/670, 825/681) = 79200
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/863,800/670,825/681
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 72,800,825
Least Common Multiple of Numerators i.e. LCM of 72,800,825 is 79200.
GCF of Denominators means GCF of 863,670,681 as per the given fractions.
GCF of 863,670,681 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,800,825
2 | 72, 800, 825 |
2 | 36, 400, 825 |
2 | 18, 200, 825 |
3 | 9, 100, 825 |
5 | 3, 100, 275 |
5 | 3, 20, 55 |
3, 4, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 5 x 3 x 4 x 11 = 79200
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 72,800,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,800,825) = 1
common factors(in case of two or more numbers have common factors) = 600
GCF(72,800,825) x common factors =1 x 600 = 600
LCM(72,800,825) = ( 72 × 800 × 825 ) / 600
LCM(72,800,825) = 47520000 / 600
LCM(72,800,825) = 79200
Lets's calculate GCF of 863,670,681
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79200/1
Therefore the LCM of Fractions 72/863,800/670,825/681 is 79200
Factors of 863
List of positive integer factors of 863 that divides 863 without a remainder.
1,863
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Greatest Common Factor
We found the factors 863,670,681 . The biggest common factor number is the GCF number.
So the greatest common factor 863,670,681 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 72/863, 800/670, 825/681?
Answer: LCM of Numerators as per given numbers 72/863, 800/670, 825/681 is
LCM of Numerators i.e. for 72,800,825 is 79200
GCF of denominators i.e. for 863,670,681 is 1.
Thus, LCM of Fractions is 79200.Finally, LCM of Fractions for 72/863, 800/670, 825/681 is 79200.