Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/76, 753/14, 909/239 quickly i.e. 17340084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/76, 753/14, 909/239 is 17340084.
LCM(76/76, 753/14, 909/239) = 17340084
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/76,753/14,909/239
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 76,753,909
Least Common Multiple of Numerators i.e. LCM of 76,753,909 is 17340084.
GCF of Denominators means GCF of 76,14,239 as per the given fractions.
GCF of 76,14,239 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,753,909
3 | 76, 753, 909 |
76, 251, 303 |
∴ So the LCM of the given numbers is 3 x 76 x 251 x 303 = 17340084
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 76,753,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,753,909) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(76,753,909) x common factors =1 x 3 = 3
LCM(76,753,909) = ( 76 × 753 × 909 ) / 3
LCM(76,753,909) = 52020252 / 3
LCM(76,753,909) = 17340084
Lets's calculate GCF of 76,14,239
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17340084/1
Therefore the LCM of Fractions 76/76,753/14,909/239 is 17340084
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Greatest Common Factor
We found the factors 76,14,239 . The biggest common factor number is the GCF number.
So the greatest common factor 76,14,239 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 76/76, 753/14, 909/239?
Answer: LCM of Numerators as per given numbers 76/76, 753/14, 909/239 is
LCM of Numerators i.e. for 76,753,909 is 17340084
GCF of denominators i.e. for 76,14,239 is 1.
Thus, LCM of Fractions is 17340084.Finally, LCM of Fractions for 76/76, 753/14, 909/239 is 17340084.