Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6827/784, 9106/7559 quickly i.e. 62166662 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6827/784, 9106/7559 is 62166662.
LCM(6827/784, 9106/7559) = 62166662
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6827/784,9106/7559
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 6827,9106
Least Common Multiple of Numerators i.e. LCM of 6827,9106 is 62166662.
GCF of Denominators means GCF of 784,7559 as per the given fractions.
GCF of 784,7559 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6827,9106
Given numbers has no common factors except 1. So, there LCM is their product i.e 62166662
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 6827,9106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6827,9106) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6827,9106) x common factors =1 x 1 = 1
LCM(6827,9106) = ( 6827 × 9106 ) / 1
LCM(6827,9106) = 62166662 / 1
LCM(6827,9106) = 62166662
Lets's calculate GCF of 784,7559
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62166662/1
Therefore the LCM of Fractions 6827/784,9106/7559 is 62166662
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Factors of 7559
List of positive integer factors of 7559 that divides 7559 without a remainder.
1,7559
Greatest Common Factor
We found the factors 784,7559 . The biggest common factor number is the GCF number.
So the greatest common factor 784,7559 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 6827/784, 9106/7559?
Answer: LCM of Numerators as per given numbers 6827/784, 9106/7559 is
LCM of Numerators i.e. for 6827,9106 is 62166662
GCF of denominators i.e. for 784,7559 is 1.
Thus, LCM of Fractions is 62166662.Finally, LCM of Fractions for 6827/784, 9106/7559 is 62166662.