Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 655/978, 6892/906 quickly i.e. 4514260/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 655/978, 6892/906 is 4514260/6.
LCM(655/978, 6892/906) = 4514260/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 655/978,6892/906
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 655,6892
Least Common Multiple of Numerators i.e. LCM of 655,6892 is 4514260.
GCF of Denominators means GCF of 978,906 as per the given fractions.
GCF of 978,906 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 655,6892
Given numbers has no common factors except 1. So, there LCM is their product i.e 4514260
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 655,6892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,6892) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,6892) x common factors =1 x 1 = 1
LCM(655,6892) = ( 655 × 6892 ) / 1
LCM(655,6892) = 4514260 / 1
LCM(655,6892) = 4514260
Lets's calculate GCF of 978,906
2 | 978, 906 |
3 | 489, 453 |
163, 151 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4514260/6
Therefore the LCM of Fractions 655/978,6892/906 is 4514260/6
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 906
List of positive integer factors of 906 that divides 906 without a remainder.
1,2,3,6,151,302,453,906
Greatest Common Factor
We found the factors 978,906 . The biggest common factor number is the GCF number.
So the greatest common factor 978,906 is 6.
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 655/978, 6892/906?
Answer: LCM of Numerators as per given numbers 655/978, 6892/906 is
LCM of Numerators i.e. for 655,6892 is 4514260
GCF of denominators i.e. for 978,906 is 6.
Thus, LCM of Fractions is 4514260/6.Finally, LCM of Fractions for 655/978, 6892/906 is 4514260/6.