Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2650/954, 6797/9276 quickly i.e. 18012050/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2650/954, 6797/9276 is 18012050/6.
LCM(2650/954, 6797/9276) = 18012050/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2650/954,6797/9276
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 2650,6797
Least Common Multiple of Numerators i.e. LCM of 2650,6797 is 18012050.
GCF of Denominators means GCF of 954,9276 as per the given fractions.
GCF of 954,9276 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2650,6797
Given numbers has no common factors except 1. So, there LCM is their product i.e 18012050
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 2650,6797 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2650,6797) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2650,6797) x common factors =1 x 1 = 1
LCM(2650,6797) = ( 2650 × 6797 ) / 1
LCM(2650,6797) = 18012050 / 1
LCM(2650,6797) = 18012050
Lets's calculate GCF of 954,9276
2 | 954, 9276 |
3 | 477, 4638 |
159, 1546 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18012050/6
Therefore the LCM of Fractions 2650/954,6797/9276 is 18012050/6
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Factors of 9276
List of positive integer factors of 9276 that divides 9276 without a remainder.
1,2,3,4,6,12,773,1546,2319,3092,4638,9276
Greatest Common Factor
We found the factors 954,9276 . The biggest common factor number is the GCF number.
So the greatest common factor 954,9276 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 2650/954, 6797/9276?
Answer: LCM of Numerators as per given numbers 2650/954, 6797/9276 is
LCM of Numerators i.e. for 2650,6797 is 18012050
GCF of denominators i.e. for 954,9276 is 6.
Thus, LCM of Fractions is 18012050/6.Finally, LCM of Fractions for 2650/954, 6797/9276 is 18012050/6.