Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 99/69, 137/96, 297/812 quickly i.e. 40689 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 99/69, 137/96, 297/812 is 40689.
LCM(99/69, 137/96, 297/812) = 40689
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 99/69,137/96,297/812
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 99,137,297
Least Common Multiple of Numerators i.e. LCM of 99,137,297 is 40689.
GCF of Denominators means GCF of 69,96,812 as per the given fractions.
GCF of 69,96,812 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 99,137,297
3 | 99, 137, 297 |
3 | 33, 137, 99 |
11 | 11, 137, 33 |
1, 137, 3 |
∴ So the LCM of the given numbers is 3 x 3 x 11 x 1 x 137 x 3 = 40689
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 99,137,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,137,297) = 1
common factors(in case of two or more numbers have common factors) = 99
GCF(99,137,297) x common factors =1 x 99 = 99
LCM(99,137,297) = ( 99 × 137 × 297 ) / 99
LCM(99,137,297) = 4028211 / 99
LCM(99,137,297) = 40689
Lets's calculate GCF of 69,96,812
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40689/1
Therefore the LCM of Fractions 99/69,137/96,297/812 is 40689
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Greatest Common Factor
We found the factors 69,96,812 . The biggest common factor number is the GCF number.
So the greatest common factor 69,96,812 is 1.
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 99/69, 137/96, 297/812?
Answer: LCM of Numerators as per given numbers 99/69, 137/96, 297/812 is
LCM of Numerators i.e. for 99,137,297 is 40689
GCF of denominators i.e. for 69,96,812 is 1.
Thus, LCM of Fractions is 40689.Finally, LCM of Fractions for 99/69, 137/96, 297/812 is 40689.