Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 690/495, 9052/663 quickly i.e. 1040980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 690/495, 9052/663 is 1040980.
LCM(690/495, 9052/663) = 1040980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 690/495,9052/663
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 690,9052
Least Common Multiple of Numerators i.e. LCM of 690,9052 is 3122940.
GCF of Denominators means GCF of 495,663 as per the given fractions.
GCF of 495,663 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 690,9052
2 | 690, 9052 |
345, 4526 |
∴ So the LCM of the given numbers is 2 x 345 x 4526 = 3122940
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 690,9052 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,9052) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(690,9052) x common factors =2 x 1 = 2
LCM(690,9052) = ( 690 × 9052 ) / 2
LCM(690,9052) = 6245880 / 2
LCM(690,9052) = 3122940
Lets's calculate GCF of 495,663
3 | 495, 663 |
165, 221 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3122940/3
Therefore the LCM of Fractions 690/495,9052/663 is 1040980
Factors of 495
List of positive integer factors of 495 that divides 495 without a remainder.
1,3,5,9,11,15,33,45,55,99,165,495
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 495,663 . The biggest common factor number is the GCF number.
So the greatest common factor 495,663 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 690/495, 9052/663?
Answer: LCM of Numerators as per given numbers 690/495, 9052/663 is
LCM of Numerators i.e. for 690,9052 is 3122940
GCF of denominators i.e. for 495,663 is 3.
Thus, LCM of Fractions is 1040980.Finally, LCM of Fractions for 690/495, 9052/663 is 1040980.