Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 93/94, 23/71, 46/10, 50/982 quickly i.e. 106950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 93/94, 23/71, 46/10, 50/982 is 106950.
LCM(93/94, 23/71, 46/10, 50/982) = 106950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 93/94,23/71,46/10,50/982
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 93,23,46,50
Least Common Multiple of Numerators i.e. LCM of 93,23,46,50 is 106950.
GCF of Denominators means GCF of 94,71,10,982 as per the given fractions.
GCF of 94,71,10,982 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 93,23,46,50
2 | 93, 23, 46, 50 |
23 | 93, 23, 23, 25 |
93, 1, 1, 25 |
∴ So the LCM of the given numbers is 2 x 23 x 93 x 1 x 1 x 25 = 106950
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 93,23,46,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(93,23,46,50) = 1
common factors(in case of two or more numbers have common factors) = 46
GCF(93,23,46,50) x common factors =1 x 46 = 46
LCM(93,23,46,50) = ( 93 × 23 × 46 × 50 ) / 46
LCM(93,23,46,50) = 4919700 / 46
LCM(93,23,46,50) = 106950
Lets's calculate GCF of 94,71,10,982
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106950/1
Therefore the LCM of Fractions 93/94,23/71,46/10,50/982 is 106950
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Greatest Common Factor
We found the factors 94,71,10,982 . The biggest common factor number is the GCF number.
So the greatest common factor 94,71,10,982 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 93/94, 23/71, 46/10, 50/982?
Answer: LCM of Numerators as per given numbers 93/94, 23/71, 46/10, 50/982 is
LCM of Numerators i.e. for 93,23,46,50 is 106950
GCF of denominators i.e. for 94,71,10,982 is 1.
Thus, LCM of Fractions is 106950.Finally, LCM of Fractions for 93/94, 23/71, 46/10, 50/982 is 106950.