Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/894, 292/562, 394/426 quickly i.e. 1064194 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/894, 292/562, 394/426 is 1064194.
LCM(74/894, 292/562, 394/426) = 1064194
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/894,292/562,394/426
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 74,292,394
Least Common Multiple of Numerators i.e. LCM of 74,292,394 is 2128388.
GCF of Denominators means GCF of 894,562,426 as per the given fractions.
GCF of 894,562,426 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,292,394
2 | 74, 292, 394 |
37, 146, 197 |
∴ So the LCM of the given numbers is 2 x 37 x 146 x 197 = 2128388
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 74,292,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,292,394) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(74,292,394) x common factors =2 x 2 = 4
LCM(74,292,394) = ( 74 × 292 × 394 ) / 4
LCM(74,292,394) = 8513552 / 4
LCM(74,292,394) = 2128388
Lets's calculate GCF of 894,562,426
2 | 894, 562, 426 |
447, 281, 213 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2128388/2
Therefore the LCM of Fractions 74/894,292/562,394/426 is 1064194
Factors of 894
List of positive integer factors of 894 that divides 894 without a remainder.
1,2,3,6,149,298,447,894
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 894,562,426 . The biggest common factor number is the GCF number.
So the greatest common factor 894,562,426 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 74/894, 292/562, 394/426?
Answer: LCM of Numerators as per given numbers 74/894, 292/562, 394/426 is
LCM of Numerators i.e. for 74,292,394 is 2128388
GCF of denominators i.e. for 894,562,426 is 2.
Thus, LCM of Fractions is 1064194.Finally, LCM of Fractions for 74/894, 292/562, 394/426 is 1064194.