Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/59, 7/59, 23/53, 55/699 quickly i.e. 79695 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/59, 7/59, 23/53, 55/699 is 79695.
LCM(9/59, 7/59, 23/53, 55/699) = 79695
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/59,7/59,23/53,55/699
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 9,7,23,55
Least Common Multiple of Numerators i.e. LCM of 9,7,23,55 is 79695.
GCF of Denominators means GCF of 59,59,53,699 as per the given fractions.
GCF of 59,59,53,699 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,7,23,55
Given numbers has no common factors except 1. So, there LCM is their product i.e 79695
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 9,7,23,55 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,7,23,55) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9,7,23,55) x common factors =1 x 1 = 1
LCM(9,7,23,55) = ( 9 × 7 × 23 × 55 ) / 1
LCM(9,7,23,55) = 79695 / 1
LCM(9,7,23,55) = 79695
Lets's calculate GCF of 59,59,53,699
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79695/1
Therefore the LCM of Fractions 9/59,7/59,23/53,55/699 is 79695
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Greatest Common Factor
We found the factors 59,59,53,699 . The biggest common factor number is the GCF number.
So the greatest common factor 59,59,53,699 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 9/59, 7/59, 23/53, 55/699?
Answer: LCM of Numerators as per given numbers 9/59, 7/59, 23/53, 55/699 is
LCM of Numerators i.e. for 9,7,23,55 is 79695
GCF of denominators i.e. for 59,59,53,699 is 1.
Thus, LCM of Fractions is 79695.Finally, LCM of Fractions for 9/59, 7/59, 23/53, 55/699 is 79695.