Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/59, 79/46, 67/53, 59/177 quickly i.e. 23421525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/59, 79/46, 67/53, 59/177 is 23421525.
LCM(75/59, 79/46, 67/53, 59/177) = 23421525
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/59,79/46,67/53,59/177
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 75,79,67,59
Least Common Multiple of Numerators i.e. LCM of 75,79,67,59 is 23421525.
GCF of Denominators means GCF of 59,46,53,177 as per the given fractions.
GCF of 59,46,53,177 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,79,67,59
Given numbers has no common factors except 1. So, there LCM is their product i.e 23421525
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 75,79,67,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,79,67,59) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,79,67,59) x common factors =1 x 1 = 1
LCM(75,79,67,59) = ( 75 × 79 × 67 × 59 ) / 1
LCM(75,79,67,59) = 23421525 / 1
LCM(75,79,67,59) = 23421525
Lets's calculate GCF of 59,46,53,177
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23421525/1
Therefore the LCM of Fractions 75/59,79/46,67/53,59/177 is 23421525
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 177
List of positive integer factors of 177 that divides 177 without a remainder.
1,3,59,177
Greatest Common Factor
We found the factors 59,46,53,177 . The biggest common factor number is the GCF number.
So the greatest common factor 59,46,53,177 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 75/59, 79/46, 67/53, 59/177?
Answer: LCM of Numerators as per given numbers 75/59, 79/46, 67/53, 59/177 is
LCM of Numerators i.e. for 75,79,67,59 is 23421525
GCF of denominators i.e. for 59,46,53,177 is 1.
Thus, LCM of Fractions is 23421525.Finally, LCM of Fractions for 75/59, 79/46, 67/53, 59/177 is 23421525.