Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/46, 92/55, 92/64, 19/421 quickly i.e. 43700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/46, 92/55, 92/64, 19/421 is 43700.
LCM(50/46, 92/55, 92/64, 19/421) = 43700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/46,92/55,92/64,19/421
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 50,92,92,19
Least Common Multiple of Numerators i.e. LCM of 50,92,92,19 is 43700.
GCF of Denominators means GCF of 46,55,64,421 as per the given fractions.
GCF of 46,55,64,421 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,92,92,19
2 | 50, 92, 92, 19 |
2 | 25, 46, 46, 19 |
23 | 25, 23, 23, 19 |
25, 1, 1, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 25 x 1 x 1 x 19 = 43700
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 50,92,92,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,92,92,19) = 1
common factors(in case of two or more numbers have common factors) = 184
GCF(50,92,92,19) x common factors =1 x 184 = 184
LCM(50,92,92,19) = ( 50 × 92 × 92 × 19 ) / 184
LCM(50,92,92,19) = 8040800 / 184
LCM(50,92,92,19) = 43700
Lets's calculate GCF of 46,55,64,421
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43700/1
Therefore the LCM of Fractions 50/46,92/55,92/64,19/421 is 43700
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 64
List of positive integer factors of 64 that divides 64 without a remainder.
1,2,4,8,16,32,64
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Greatest Common Factor
We found the factors 46,55,64,421 . The biggest common factor number is the GCF number.
So the greatest common factor 46,55,64,421 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 50/46, 92/55, 92/64, 19/421?
Answer: LCM of Numerators as per given numbers 50/46, 92/55, 92/64, 19/421 is
LCM of Numerators i.e. for 50,92,92,19 is 43700
GCF of denominators i.e. for 46,55,64,421 is 1.
Thus, LCM of Fractions is 43700.Finally, LCM of Fractions for 50/46, 92/55, 92/64, 19/421 is 43700.