Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/791, 99/155, 565/402 quickly i.e. 2573010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/791, 99/155, 565/402 is 2573010.
LCM(46/791, 99/155, 565/402) = 2573010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/791,99/155,565/402
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 46,99,565
Least Common Multiple of Numerators i.e. LCM of 46,99,565 is 2573010.
GCF of Denominators means GCF of 791,155,402 as per the given fractions.
GCF of 791,155,402 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,99,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 2573010
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 46,99,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,99,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,99,565) x common factors =1 x 1 = 1
LCM(46,99,565) = ( 46 × 99 × 565 ) / 1
LCM(46,99,565) = 2573010 / 1
LCM(46,99,565) = 2573010
Lets's calculate GCF of 791,155,402
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2573010/1
Therefore the LCM of Fractions 46/791,99/155,565/402 is 2573010
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 155
List of positive integer factors of 155 that divides 155 without a remainder.
1,5,31,155
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Greatest Common Factor
We found the factors 791,155,402 . The biggest common factor number is the GCF number.
So the greatest common factor 791,155,402 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 46/791, 99/155, 565/402?
Answer: LCM of Numerators as per given numbers 46/791, 99/155, 565/402 is
LCM of Numerators i.e. for 46,99,565 is 2573010
GCF of denominators i.e. for 791,155,402 is 1.
Thus, LCM of Fractions is 2573010.Finally, LCM of Fractions for 46/791, 99/155, 565/402 is 2573010.