Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/114, 92/264, 45/159 quickly i.e. 1380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/114, 92/264, 45/159 is 1380.
LCM(9/114, 92/264, 45/159) = 1380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/114,92/264,45/159
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 9,92,45
Least Common Multiple of Numerators i.e. LCM of 9,92,45 is 4140.
GCF of Denominators means GCF of 114,264,159 as per the given fractions.
GCF of 114,264,159 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,92,45
3 | 9, 92, 45 |
3 | 3, 92, 15 |
1, 92, 5 |
∴ So the LCM of the given numbers is 3 x 3 x 1 x 92 x 5 = 4140
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 9,92,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,92,45) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(9,92,45) x common factors =1 x 9 = 9
LCM(9,92,45) = ( 9 × 92 × 45 ) / 9
LCM(9,92,45) = 37260 / 9
LCM(9,92,45) = 4140
Lets's calculate GCF of 114,264,159
3 | 114, 264, 159 |
38, 88, 53 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4140/3
Therefore the LCM of Fractions 9/114,92/264,45/159 is 1380
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Factors of 264
List of positive integer factors of 264 that divides 264 without a remainder.
1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Greatest Common Factor
We found the factors 114,264,159 . The biggest common factor number is the GCF number.
So the greatest common factor 114,264,159 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 9/114, 92/264, 45/159?
Answer: LCM of Numerators as per given numbers 9/114, 92/264, 45/159 is
LCM of Numerators i.e. for 9,92,45 is 4140
GCF of denominators i.e. for 114,264,159 is 3.
Thus, LCM of Fractions is 1380.Finally, LCM of Fractions for 9/114, 92/264, 45/159 is 1380.