Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/152, 38/461, 127/332 quickly i.e. 284734 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/152, 38/461, 127/332 is 284734.
LCM(59/152, 38/461, 127/332) = 284734
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/152,38/461,127/332
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 59,38,127
Least Common Multiple of Numerators i.e. LCM of 59,38,127 is 284734.
GCF of Denominators means GCF of 152,461,332 as per the given fractions.
GCF of 152,461,332 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,38,127
Given numbers has no common factors except 1. So, there LCM is their product i.e 284734
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 59,38,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,38,127) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,38,127) x common factors =1 x 1 = 1
LCM(59,38,127) = ( 59 × 38 × 127 ) / 1
LCM(59,38,127) = 284734 / 1
LCM(59,38,127) = 284734
Lets's calculate GCF of 152,461,332
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 284734/1
Therefore the LCM of Fractions 59/152,38/461,127/332 is 284734
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Factors of 461
List of positive integer factors of 461 that divides 461 without a remainder.
1,461
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Greatest Common Factor
We found the factors 152,461,332 . The biggest common factor number is the GCF number.
So the greatest common factor 152,461,332 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 59/152, 38/461, 127/332?
Answer: LCM of Numerators as per given numbers 59/152, 38/461, 127/332 is
LCM of Numerators i.e. for 59,38,127 is 284734
GCF of denominators i.e. for 152,461,332 is 1.
Thus, LCM of Fractions is 284734.Finally, LCM of Fractions for 59/152, 38/461, 127/332 is 284734.