Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/934, 93/590, 246/219 quickly i.e. 358422 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, 93/590, 246/219 is 358422.
LCM(94/934, 93/590, 246/219) = 358422
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/934,93/590,246/219
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 94,93,246
Least Common Multiple of Numerators i.e. LCM of 94,93,246 is 358422.
GCF of Denominators means GCF of 934,590,219 as per the given fractions.
GCF of 934,590,219 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,93,246
2 | 94, 93, 246 |
3 | 47, 93, 123 |
47, 31, 41 |
∴ So the LCM of the given numbers is 2 x 3 x 47 x 31 x 41 = 358422
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 94,93,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,93,246) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(94,93,246) x common factors =1 x 6 = 6
LCM(94,93,246) = ( 94 × 93 × 246 ) / 6
LCM(94,93,246) = 2150532 / 6
LCM(94,93,246) = 358422
Lets's calculate GCF of 934,590,219
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 358422/1
Therefore the LCM of Fractions 94/934,93/590,246/219 is 358422
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Factors of 590
List of positive integer factors of 590 that divides 590 without a remainder.
1,2,5,10,59,118,295,590
Factors of 219
List of positive integer factors of 219 that divides 219 without a remainder.
1,3,73,219
Greatest Common Factor
We found the factors 934,590,219 . The biggest common factor number is the GCF number.
So the greatest common factor 934,590,219 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 94/934, 93/590, 246/219?
Answer: LCM of Numerators as per given numbers 94/934, 93/590, 246/219 is
LCM of Numerators i.e. for 94,93,246 is 358422
GCF of denominators i.e. for 934,590,219 is 1.
Thus, LCM of Fractions is 358422.Finally, LCM of Fractions for 94/934, 93/590, 246/219 is 358422.