Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 174/565, 7509/9962 quickly i.e. 435522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 174/565, 7509/9962 is 435522.
LCM(174/565, 7509/9962) = 435522
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 174/565,7509/9962
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 174,7509
Least Common Multiple of Numerators i.e. LCM of 174,7509 is 435522.
GCF of Denominators means GCF of 565,9962 as per the given fractions.
GCF of 565,9962 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 174,7509
3 | 174, 7509 |
58, 2503 |
∴ So the LCM of the given numbers is 3 x 58 x 2503 = 435522
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 174,7509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,7509) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(174,7509) x common factors =3 x 1 = 3
LCM(174,7509) = ( 174 × 7509 ) / 3
LCM(174,7509) = 1306566 / 3
LCM(174,7509) = 435522
Lets's calculate GCF of 565,9962
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 435522/1
Therefore the LCM of Fractions 174/565,7509/9962 is 435522
Factors of 565
List of positive integer factors of 565 that divides 565 without a remainder.
1,5,113,565
Factors of 9962
List of positive integer factors of 9962 that divides 9962 without a remainder.
1,2,17,34,293,586,4981,9962
Greatest Common Factor
We found the factors 565,9962 . The biggest common factor number is the GCF number.
So the greatest common factor 565,9962 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 174/565, 7509/9962?
Answer: LCM of Numerators as per given numbers 174/565, 7509/9962 is
LCM of Numerators i.e. for 174,7509 is 435522
GCF of denominators i.e. for 565,9962 is 1.
Thus, LCM of Fractions is 435522.Finally, LCM of Fractions for 174/565, 7509/9962 is 435522.