Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 783/697, 5048/153 quickly i.e. 3952584/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 783/697, 5048/153 is 3952584/17.
LCM(783/697, 5048/153) = 3952584/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 783/697,5048/153
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 783,5048
Least Common Multiple of Numerators i.e. LCM of 783,5048 is 3952584.
GCF of Denominators means GCF of 697,153 as per the given fractions.
GCF of 697,153 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 783,5048
Given numbers has no common factors except 1. So, there LCM is their product i.e 3952584
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 783,5048 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,5048) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(783,5048) x common factors =1 x 1 = 1
LCM(783,5048) = ( 783 × 5048 ) / 1
LCM(783,5048) = 3952584 / 1
LCM(783,5048) = 3952584
Lets's calculate GCF of 697,153
17 | 697, 153 |
41, 9 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3952584/17
Therefore the LCM of Fractions 783/697,5048/153 is 3952584/17
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Greatest Common Factor
We found the factors 697,153 . The biggest common factor number is the GCF number.
So the greatest common factor 697,153 is 17.
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 783/697, 5048/153?
Answer: LCM of Numerators as per given numbers 783/697, 5048/153 is
LCM of Numerators i.e. for 783,5048 is 3952584
GCF of denominators i.e. for 697,153 is 17.
Thus, LCM of Fractions is 3952584/17.Finally, LCM of Fractions for 783/697, 5048/153 is 3952584/17.