Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4692/212, 8527/7537 quickly i.e. 40008684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4692/212, 8527/7537 is 40008684.
LCM(4692/212, 8527/7537) = 40008684
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4692/212,8527/7537
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 4692,8527
Least Common Multiple of Numerators i.e. LCM of 4692,8527 is 40008684.
GCF of Denominators means GCF of 212,7537 as per the given fractions.
GCF of 212,7537 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4692,8527
Given numbers has no common factors except 1. So, there LCM is their product i.e 40008684
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 4692,8527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4692,8527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4692,8527) x common factors =1 x 1 = 1
LCM(4692,8527) = ( 4692 × 8527 ) / 1
LCM(4692,8527) = 40008684 / 1
LCM(4692,8527) = 40008684
Lets's calculate GCF of 212,7537
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40008684/1
Therefore the LCM of Fractions 4692/212,8527/7537 is 40008684
Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1,2,4,53,106,212
Factors of 7537
List of positive integer factors of 7537 that divides 7537 without a remainder.
1,7537
Greatest Common Factor
We found the factors 212,7537 . The biggest common factor number is the GCF number.
So the greatest common factor 212,7537 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 4692/212, 8527/7537?
Answer: LCM of Numerators as per given numbers 4692/212, 8527/7537 is
LCM of Numerators i.e. for 4692,8527 is 40008684
GCF of denominators i.e. for 212,7537 is 1.
Thus, LCM of Fractions is 40008684.Finally, LCM of Fractions for 4692/212, 8527/7537 is 40008684.