Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/623, 66/801 quickly i.e. 792/89 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/623, 66/801 is 792/89.
LCM(72/623, 66/801) = 792/89
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/623,66/801
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 72,66
Least Common Multiple of Numerators i.e. LCM of 72,66 is 792.
GCF of Denominators means GCF of 623,801 as per the given fractions.
GCF of 623,801 is 89 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,66
2 | 72, 66 |
3 | 36, 33 |
12, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 12 x 11 = 792
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 72,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,66) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(72,66) x common factors =6 x 1 = 6
LCM(72,66) = ( 72 × 66 ) / 6
LCM(72,66) = 4752 / 6
LCM(72,66) = 792
Lets's calculate GCF of 623,801
89 | 623, 801 |
7, 9 |
∴ So the GCF of the given numbers is 89 = 89
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 792/89
Therefore the LCM of Fractions 72/623,66/801 is 792/89
Factors of 623
List of positive integer factors of 623 that divides 623 without a remainder.
1,7,89,623
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Greatest Common Factor
We found the factors 623,801 . The biggest common factor number is the GCF number.
So the greatest common factor 623,801 is 89.
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 72/623, 66/801?
Answer: LCM of Numerators as per given numbers 72/623, 66/801 is
LCM of Numerators i.e. for 72,66 is 792
GCF of denominators i.e. for 623,801 is 89.
Thus, LCM of Fractions is 792/89.Finally, LCM of Fractions for 72/623, 66/801 is 792/89.