Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/50, 2/46, 94/92, 73/460 quickly i.e. 6862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/50, 2/46, 94/92, 73/460 is 6862.
LCM(4/50, 2/46, 94/92, 73/460) = 6862
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/50,2/46,94/92,73/460
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 4,2,94,73
Least Common Multiple of Numerators i.e. LCM of 4,2,94,73 is 13724.
GCF of Denominators means GCF of 50,46,92,460 as per the given fractions.
GCF of 50,46,92,460 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,2,94,73
2 | 4, 2, 94, 73 |
2, 1, 47, 73 |
∴ So the LCM of the given numbers is 2 x 2 x 1 x 47 x 73 = 13724
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 4,2,94,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,2,94,73) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(4,2,94,73) x common factors =1 x 4 = 4
LCM(4,2,94,73) = ( 4 × 2 × 94 × 73 ) / 4
LCM(4,2,94,73) = 54896 / 4
LCM(4,2,94,73) = 13724
Lets's calculate GCF of 50,46,92,460
2 | 50, 46, 92, 460 |
25, 23, 46, 230 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13724/2
Therefore the LCM of Fractions 4/50,2/46,94/92,73/460 is 6862
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 460
List of positive integer factors of 460 that divides 460 without a remainder.
1,2,4,5,10,20,23,46,92,115,230,460
Greatest Common Factor
We found the factors 50,46,92,460 . The biggest common factor number is the GCF number.
So the greatest common factor 50,46,92,460 is 2.
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 4/50, 2/46, 94/92, 73/460?
Answer: LCM of Numerators as per given numbers 4/50, 2/46, 94/92, 73/460 is
LCM of Numerators i.e. for 4,2,94,73 is 13724
GCF of denominators i.e. for 50,46,92,460 is 2.
Thus, LCM of Fractions is 6862.Finally, LCM of Fractions for 4/50, 2/46, 94/92, 73/460 is 6862.