Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/430, 11/493, 187/182 quickly i.e. 9350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/430, 11/493, 187/182 is 9350.
LCM(50/430, 11/493, 187/182) = 9350
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/430,11/493,187/182
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 50,11,187
Least Common Multiple of Numerators i.e. LCM of 50,11,187 is 9350.
GCF of Denominators means GCF of 430,493,182 as per the given fractions.
GCF of 430,493,182 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,11,187
11 | 50, 11, 187 |
50, 1, 17 |
∴ So the LCM of the given numbers is 11 x 50 x 1 x 17 = 9350
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 50,11,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,11,187) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(50,11,187) x common factors =1 x 11 = 11
LCM(50,11,187) = ( 50 × 11 × 187 ) / 11
LCM(50,11,187) = 102850 / 11
LCM(50,11,187) = 9350
Lets's calculate GCF of 430,493,182
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9350/1
Therefore the LCM of Fractions 50/430,11/493,187/182 is 9350
Factors of 430
List of positive integer factors of 430 that divides 430 without a remainder.
1,2,5,10,43,86,215,430
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Greatest Common Factor
We found the factors 430,493,182 . The biggest common factor number is the GCF number.
So the greatest common factor 430,493,182 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 50/430, 11/493, 187/182?
Answer: LCM of Numerators as per given numbers 50/430, 11/493, 187/182 is
LCM of Numerators i.e. for 50,11,187 is 9350
GCF of denominators i.e. for 430,493,182 is 1.
Thus, LCM of Fractions is 9350.Finally, LCM of Fractions for 50/430, 11/493, 187/182 is 9350.