Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 606/153, 7902/369 quickly i.e. 88678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 606/153, 7902/369 is 88678.
LCM(606/153, 7902/369) = 88678
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 606/153,7902/369
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 606,7902
Least Common Multiple of Numerators i.e. LCM of 606,7902 is 798102.
GCF of Denominators means GCF of 153,369 as per the given fractions.
GCF of 153,369 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 606,7902
2 | 606, 7902 |
3 | 303, 3951 |
101, 1317 |
∴ So the LCM of the given numbers is 2 x 3 x 101 x 1317 = 798102
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 606,7902 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,7902) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(606,7902) x common factors =6 x 1 = 6
LCM(606,7902) = ( 606 × 7902 ) / 6
LCM(606,7902) = 4788612 / 6
LCM(606,7902) = 798102
Lets's calculate GCF of 153,369
3 | 153, 369 |
3 | 51, 123 |
17, 41 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 798102/9
Therefore the LCM of Fractions 606/153,7902/369 is 88678
Factors of 153
List of positive integer factors of 153 that divides 153 without a remainder.
1,3,9,17,51,153
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Greatest Common Factor
We found the factors 153,369 . The biggest common factor number is the GCF number.
So the greatest common factor 153,369 is 9.
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 606/153, 7902/369?
Answer: LCM of Numerators as per given numbers 606/153, 7902/369 is
LCM of Numerators i.e. for 606,7902 is 798102
GCF of denominators i.e. for 153,369 is 9.
Thus, LCM of Fractions is 88678.Finally, LCM of Fractions for 606/153, 7902/369 is 88678.