Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 164/132, 4753/663 quickly i.e. 779492/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 164/132, 4753/663 is 779492/3.
LCM(164/132, 4753/663) = 779492/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 164/132,4753/663
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 164,4753
Least Common Multiple of Numerators i.e. LCM of 164,4753 is 779492.
GCF of Denominators means GCF of 132,663 as per the given fractions.
GCF of 132,663 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 164,4753
Given numbers has no common factors except 1. So, there LCM is their product i.e 779492
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 164,4753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(164,4753) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(164,4753) x common factors =1 x 1 = 1
LCM(164,4753) = ( 164 × 4753 ) / 1
LCM(164,4753) = 779492 / 1
LCM(164,4753) = 779492
Lets's calculate GCF of 132,663
3 | 132, 663 |
44, 221 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 779492/3
Therefore the LCM of Fractions 164/132,4753/663 is 779492/3
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 132,663 . The biggest common factor number is the GCF number.
So the greatest common factor 132,663 is 3.
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 164/132, 4753/663?
Answer: LCM of Numerators as per given numbers 164/132, 4753/663 is
LCM of Numerators i.e. for 164,4753 is 779492
GCF of denominators i.e. for 132,663 is 3.
Thus, LCM of Fractions is 779492/3.Finally, LCM of Fractions for 164/132, 4753/663 is 779492/3.