Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 797/66, 492/6567 quickly i.e. 392124/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 797/66, 492/6567 is 392124/33.
LCM(797/66, 492/6567) = 392124/33
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 797/66,492/6567
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 797,492
Least Common Multiple of Numerators i.e. LCM of 797,492 is 392124.
GCF of Denominators means GCF of 66,6567 as per the given fractions.
GCF of 66,6567 is 33 as it is the largest common factor for these numbers.
Lets's calculate LCM of 797,492
Given numbers has no common factors except 1. So, there LCM is their product i.e 392124
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 797,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,492) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,492) x common factors =1 x 1 = 1
LCM(797,492) = ( 797 × 492 ) / 1
LCM(797,492) = 392124 / 1
LCM(797,492) = 392124
Lets's calculate GCF of 66,6567
3 | 66, 6567 |
11 | 22, 2189 |
2, 199 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 392124/33
Therefore the LCM of Fractions 797/66,492/6567 is 392124/33
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 6567
List of positive integer factors of 6567 that divides 6567 without a remainder.
1,3,11,33,199,597,2189,6567
Greatest Common Factor
We found the factors 66,6567 . The biggest common factor number is the GCF number.
So the greatest common factor 66,6567 is 33.
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 797/66, 492/6567?
Answer: LCM of Numerators as per given numbers 797/66, 492/6567 is
LCM of Numerators i.e. for 797,492 is 392124
GCF of denominators i.e. for 66,6567 is 33.
Thus, LCM of Fractions is 392124/33.Finally, LCM of Fractions for 797/66, 492/6567 is 392124/33.