Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 739/64, 431/11, 167/391 quickly i.e. 53191003 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 739/64, 431/11, 167/391 is 53191003.
LCM(739/64, 431/11, 167/391) = 53191003
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 739/64,431/11,167/391
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 739,431,167
Least Common Multiple of Numerators i.e. LCM of 739,431,167 is 53191003.
GCF of Denominators means GCF of 64,11,391 as per the given fractions.
GCF of 64,11,391 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 739,431,167
Given numbers has no common factors except 1. So, there LCM is their product i.e 53191003
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 739,431,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,431,167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,431,167) x common factors =1 x 1 = 1
LCM(739,431,167) = ( 739 × 431 × 167 ) / 1
LCM(739,431,167) = 53191003 / 1
LCM(739,431,167) = 53191003
Lets's calculate GCF of 64,11,391
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53191003/1
Therefore the LCM of Fractions 739/64,431/11,167/391 is 53191003
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Greatest Common Factor
We found the factors 64,11,391 . The biggest common factor number is the GCF number.
So the greatest common factor 64,11,391 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 739/64, 431/11, 167/391?
Answer: LCM of Numerators as per given numbers 739/64, 431/11, 167/391 is
LCM of Numerators i.e. for 739,431,167 is 53191003
GCF of denominators i.e. for 64,11,391 is 1.
Thus, LCM of Fractions is 53191003.Finally, LCM of Fractions for 739/64, 431/11, 167/391 is 53191003.