Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/385, 3598/5346 quickly i.e. 248262/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/385, 3598/5346 is 248262/11.
LCM(69/385, 3598/5346) = 248262/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/385,3598/5346
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 69,3598
Least Common Multiple of Numerators i.e. LCM of 69,3598 is 248262.
GCF of Denominators means GCF of 385,5346 as per the given fractions.
GCF of 385,5346 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,3598
Given numbers has no common factors except 1. So, there LCM is their product i.e 248262
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 69,3598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,3598) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(69,3598) x common factors =1 x 1 = 1
LCM(69,3598) = ( 69 × 3598 ) / 1
LCM(69,3598) = 248262 / 1
LCM(69,3598) = 248262
Lets's calculate GCF of 385,5346
11 | 385, 5346 |
35, 486 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248262/11
Therefore the LCM of Fractions 69/385,3598/5346 is 248262/11
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 5346
List of positive integer factors of 5346 that divides 5346 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,243,297,486,594,891,1782,2673,5346
Greatest Common Factor
We found the factors 385,5346 . The biggest common factor number is the GCF number.
So the greatest common factor 385,5346 is 11.
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 69/385, 3598/5346?
Answer: LCM of Numerators as per given numbers 69/385, 3598/5346 is
LCM of Numerators i.e. for 69,3598 is 248262
GCF of denominators i.e. for 385,5346 is 11.
Thus, LCM of Fractions is 248262/11.Finally, LCM of Fractions for 69/385, 3598/5346 is 248262/11.