Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9776/112, 7561/266 quickly i.e. 73916336/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9776/112, 7561/266 is 73916336/14.
LCM(9776/112, 7561/266) = 73916336/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9776/112,7561/266
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 9776,7561
Least Common Multiple of Numerators i.e. LCM of 9776,7561 is 73916336.
GCF of Denominators means GCF of 112,266 as per the given fractions.
GCF of 112,266 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9776,7561
Given numbers has no common factors except 1. So, there LCM is their product i.e 73916336
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 9776,7561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9776,7561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9776,7561) x common factors =1 x 1 = 1
LCM(9776,7561) = ( 9776 × 7561 ) / 1
LCM(9776,7561) = 73916336 / 1
LCM(9776,7561) = 73916336
Lets's calculate GCF of 112,266
2 | 112, 266 |
7 | 56, 133 |
8, 19 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73916336/14
Therefore the LCM of Fractions 9776/112,7561/266 is 73916336/14
Factors of 112
List of positive integer factors of 112 that divides 112 without a remainder.
1,2,4,7,8,14,16,28,56,112
Factors of 266
List of positive integer factors of 266 that divides 266 without a remainder.
1,2,7,14,19,38,133,266
Greatest Common Factor
We found the factors 112,266 . The biggest common factor number is the GCF number.
So the greatest common factor 112,266 is 14.
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 9776/112, 7561/266?
Answer: LCM of Numerators as per given numbers 9776/112, 7561/266 is
LCM of Numerators i.e. for 9776,7561 is 73916336
GCF of denominators i.e. for 112,266 is 14.
Thus, LCM of Fractions is 73916336/14.Finally, LCM of Fractions for 9776/112, 7561/266 is 73916336/14.