Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 464/239, 232/339, 751/796 quickly i.e. 348464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 464/239, 232/339, 751/796 is 348464.
LCM(464/239, 232/339, 751/796) = 348464
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 464/239,232/339,751/796
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 464,232,751
Least Common Multiple of Numerators i.e. LCM of 464,232,751 is 348464.
GCF of Denominators means GCF of 239,339,796 as per the given fractions.
GCF of 239,339,796 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 464,232,751
2 | 464, 232, 751 |
2 | 232, 116, 751 |
2 | 58, 116, 751 |
29 | 29, 58, 751 |
1, 2, 751 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 29 x 1 x 2 x 751 = 348464
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 464,232,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,232,751) = 1
common factors(in case of two or more numbers have common factors) = 232
GCF(464,232,751) x common factors =1 x 232 = 232
LCM(464,232,751) = ( 464 × 232 × 751 ) / 232
LCM(464,232,751) = 80843648 / 232
LCM(464,232,751) = 348464
Lets's calculate GCF of 239,339,796
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 348464/1
Therefore the LCM of Fractions 464/239,232/339,751/796 is 348464
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Factors of 339
List of positive integer factors of 339 that divides 339 without a remainder.
1,3,113,339
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Greatest Common Factor
We found the factors 239,339,796 . The biggest common factor number is the GCF number.
So the greatest common factor 239,339,796 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 464/239, 232/339, 751/796?
Answer: LCM of Numerators as per given numbers 464/239, 232/339, 751/796 is
LCM of Numerators i.e. for 464,232,751 is 348464
GCF of denominators i.e. for 239,339,796 is 1.
Thus, LCM of Fractions is 348464.Finally, LCM of Fractions for 464/239, 232/339, 751/796 is 348464.