Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/264, 67/114, 349/224 quickly i.e. 187064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/264, 67/114, 349/224 is 187064.
LCM(16/264, 67/114, 349/224) = 187064
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/264,67/114,349/224
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 16,67,349
Least Common Multiple of Numerators i.e. LCM of 16,67,349 is 374128.
GCF of Denominators means GCF of 264,114,224 as per the given fractions.
GCF of 264,114,224 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,67,349
Given numbers has no common factors except 1. So, there LCM is their product i.e 374128
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 16,67,349 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,67,349) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,67,349) x common factors =1 x 1 = 1
LCM(16,67,349) = ( 16 × 67 × 349 ) / 1
LCM(16,67,349) = 374128 / 1
LCM(16,67,349) = 374128
Lets's calculate GCF of 264,114,224
2 | 264, 114, 224 |
132, 57, 112 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 374128/2
Therefore the LCM of Fractions 16/264,67/114,349/224 is 187064
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 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Greatest Common Factor
We found the factors 264,114,224 . The biggest common factor number is the GCF number.
So the greatest common factor 264,114,224 is 2.
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 16/264, 67/114, 349/224?
Answer: LCM of Numerators as per given numbers 16/264, 67/114, 349/224 is
LCM of Numerators i.e. for 16,67,349 is 374128
GCF of denominators i.e. for 264,114,224 is 2.
Thus, LCM of Fractions is 187064.Finally, LCM of Fractions for 16/264, 67/114, 349/224 is 187064.