Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 684/62, 527/6913 quickly i.e. 11628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 684/62, 527/6913 is 11628.
LCM(684/62, 527/6913) = 11628
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 684/62,527/6913
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 684,527
Least Common Multiple of Numerators i.e. LCM of 684,527 is 360468.
GCF of Denominators means GCF of 62,6913 as per the given fractions.
GCF of 62,6913 is 31 as it is the largest common factor for these numbers.
Lets's calculate LCM of 684,527
Given numbers has no common factors except 1. So, there LCM is their product i.e 360468
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 684,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(684,527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(684,527) x common factors =1 x 1 = 1
LCM(684,527) = ( 684 × 527 ) / 1
LCM(684,527) = 360468 / 1
LCM(684,527) = 360468
Lets's calculate GCF of 62,6913
31 | 62, 6913 |
2, 223 |
∴ So the GCF of the given numbers is 31 = 31
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 360468/31
Therefore the LCM of Fractions 684/62,527/6913 is 11628
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 6913
List of positive integer factors of 6913 that divides 6913 without a remainder.
1,31,223,6913
Greatest Common Factor
We found the factors 62,6913 . The biggest common factor number is the GCF number.
So the greatest common factor 62,6913 is 31.
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 684/62, 527/6913?
Answer: LCM of Numerators as per given numbers 684/62, 527/6913 is
LCM of Numerators i.e. for 684,527 is 360468
GCF of denominators i.e. for 62,6913 is 31.
Thus, LCM of Fractions is 11628.Finally, LCM of Fractions for 684/62, 527/6913 is 11628.