Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 70/733, 4905/5497 quickly i.e. 68670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 70/733, 4905/5497 is 68670.
LCM(70/733, 4905/5497) = 68670
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 70/733,4905/5497
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 70,4905
Least Common Multiple of Numerators i.e. LCM of 70,4905 is 68670.
GCF of Denominators means GCF of 733,5497 as per the given fractions.
GCF of 733,5497 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 70,4905
5 | 70, 4905 |
14, 981 |
∴ So the LCM of the given numbers is 5 x 14 x 981 = 68670
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 70,4905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,4905) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(70,4905) x common factors =5 x 1 = 5
LCM(70,4905) = ( 70 × 4905 ) / 5
LCM(70,4905) = 343350 / 5
LCM(70,4905) = 68670
Lets's calculate GCF of 733,5497
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68670/1
Therefore the LCM of Fractions 70/733,4905/5497 is 68670
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Factors of 5497
List of positive integer factors of 5497 that divides 5497 without a remainder.
1,23,239,5497
Greatest Common Factor
We found the factors 733,5497 . The biggest common factor number is the GCF number.
So the greatest common factor 733,5497 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 70/733, 4905/5497?
Answer: LCM of Numerators as per given numbers 70/733, 4905/5497 is
LCM of Numerators i.e. for 70,4905 is 68670
GCF of denominators i.e. for 733,5497 is 1.
Thus, LCM of Fractions is 68670.Finally, LCM of Fractions for 70/733, 4905/5497 is 68670.