Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 361/76, 102/7696 quickly i.e. 36822/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 361/76, 102/7696 is 36822/4.
LCM(361/76, 102/7696) = 36822/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 361/76,102/7696
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 361,102
Least Common Multiple of Numerators i.e. LCM of 361,102 is 36822.
GCF of Denominators means GCF of 76,7696 as per the given fractions.
GCF of 76,7696 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 361,102
Given numbers has no common factors except 1. So, there LCM is their product i.e 36822
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 361,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,102) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,102) x common factors =1 x 1 = 1
LCM(361,102) = ( 361 × 102 ) / 1
LCM(361,102) = 36822 / 1
LCM(361,102) = 36822
Lets's calculate GCF of 76,7696
2 | 76, 7696 |
2 | 38, 3848 |
19, 1924 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36822/4
Therefore the LCM of Fractions 361/76,102/7696 is 36822/4
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 7696
List of positive integer factors of 7696 that divides 7696 without a remainder.
1,2,4,8,13,16,26,37,52,74,104,148,208,296,481,592,962,1924,3848,7696
Greatest Common Factor
We found the factors 76,7696 . The biggest common factor number is the GCF number.
So the greatest common factor 76,7696 is 4.
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 361/76, 102/7696?
Answer: LCM of Numerators as per given numbers 361/76, 102/7696 is
LCM of Numerators i.e. for 361,102 is 36822
GCF of denominators i.e. for 76,7696 is 4.
Thus, LCM of Fractions is 36822/4.Finally, LCM of Fractions for 361/76, 102/7696 is 36822/4.