Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/93, 17/33, 156/228 quickly i.e. 20332 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/93, 17/33, 156/228 is 20332.
LCM(69/93, 17/33, 156/228) = 20332
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/93,17/33,156/228
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 69,17,156
Least Common Multiple of Numerators i.e. LCM of 69,17,156 is 60996.
GCF of Denominators means GCF of 93,33,228 as per the given fractions.
GCF of 93,33,228 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,17,156
3 | 69, 17, 156 |
23, 17, 52 |
∴ So the LCM of the given numbers is 3 x 23 x 17 x 52 = 60996
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 69,17,156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,17,156) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(69,17,156) x common factors =1 x 3 = 3
LCM(69,17,156) = ( 69 × 17 × 156 ) / 3
LCM(69,17,156) = 182988 / 3
LCM(69,17,156) = 60996
Lets's calculate GCF of 93,33,228
3 | 93, 33, 228 |
31, 11, 76 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60996/3
Therefore the LCM of Fractions 69/93,17/33,156/228 is 20332
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 228
List of positive integer factors of 228 that divides 228 without a remainder.
1,2,3,4,6,12,19,38,57,76,114,228
Greatest Common Factor
We found the factors 93,33,228 . The biggest common factor number is the GCF number.
So the greatest common factor 93,33,228 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 69/93, 17/33, 156/228?
Answer: LCM of Numerators as per given numbers 69/93, 17/33, 156/228 is
LCM of Numerators i.e. for 69,17,156 is 60996
GCF of denominators i.e. for 93,33,228 is 3.
Thus, LCM of Fractions is 20332.Finally, LCM of Fractions for 69/93, 17/33, 156/228 is 20332.