Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/934, 43/694, 953/500 quickly i.e. 1926013 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/934, 43/694, 953/500 is 1926013.
LCM(94/934, 43/694, 953/500) = 1926013
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/934,43/694,953/500
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 94,43,953
Least Common Multiple of Numerators i.e. LCM of 94,43,953 is 3852026.
GCF of Denominators means GCF of 934,694,500 as per the given fractions.
GCF of 934,694,500 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,43,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 3852026
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 94,43,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,43,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,43,953) x common factors =1 x 1 = 1
LCM(94,43,953) = ( 94 × 43 × 953 ) / 1
LCM(94,43,953) = 3852026 / 1
LCM(94,43,953) = 3852026
Lets's calculate GCF of 934,694,500
2 | 934, 694, 500 |
467, 347, 250 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3852026/2
Therefore the LCM of Fractions 94/934,43/694,953/500 is 1926013
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 934,694,500 . The biggest common factor number is the GCF number.
So the greatest common factor 934,694,500 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 94/934, 43/694, 953/500?
Answer: LCM of Numerators as per given numbers 94/934, 43/694, 953/500 is
LCM of Numerators i.e. for 94,43,953 is 3852026
GCF of denominators i.e. for 934,694,500 is 2.
Thus, LCM of Fractions is 1926013.Finally, LCM of Fractions for 94/934, 43/694, 953/500 is 1926013.