Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 776/99, 672/465 quickly i.e. 21728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 776/99, 672/465 is 21728.
LCM(776/99, 672/465) = 21728
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 776/99,672/465
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 776,672
Least Common Multiple of Numerators i.e. LCM of 776,672 is 65184.
GCF of Denominators means GCF of 99,465 as per the given fractions.
GCF of 99,465 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 776,672
2 | 776, 672 |
2 | 388, 336 |
2 | 194, 168 |
97, 84 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 97 x 84 = 65184
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 776,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,672) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(776,672) x common factors =8 x 1 = 8
LCM(776,672) = ( 776 × 672 ) / 8
LCM(776,672) = 521472 / 8
LCM(776,672) = 65184
Lets's calculate GCF of 99,465
3 | 99, 465 |
33, 155 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65184/3
Therefore the LCM of Fractions 776/99,672/465 is 21728
Factors of 99
List of positive integer factors of 99 that divides 99 without a remainder.
1,3,9,11,33,99
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 99,465 . The biggest common factor number is the GCF number.
So the greatest common factor 99,465 is 3.
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 776/99, 672/465?
Answer: LCM of Numerators as per given numbers 776/99, 672/465 is
LCM of Numerators i.e. for 776,672 is 65184
GCF of denominators i.e. for 99,465 is 3.
Thus, LCM of Fractions is 21728.Finally, LCM of Fractions for 776/99, 672/465 is 21728.