Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/594, 76/596, 224/846 quickly i.e. 78736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/594, 76/596, 224/846 is 78736.
LCM(74/594, 76/596, 224/846) = 78736
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/594,76/596,224/846
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 74,76,224
Least Common Multiple of Numerators i.e. LCM of 74,76,224 is 157472.
GCF of Denominators means GCF of 594,596,846 as per the given fractions.
GCF of 594,596,846 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,76,224
2 | 74, 76, 224 |
2 | 37, 38, 112 |
37, 19, 56 |
∴ So the LCM of the given numbers is 2 x 2 x 37 x 19 x 56 = 157472
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 74,76,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,76,224) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(74,76,224) x common factors =2 x 4 = 8
LCM(74,76,224) = ( 74 × 76 × 224 ) / 8
LCM(74,76,224) = 1259776 / 8
LCM(74,76,224) = 157472
Lets's calculate GCF of 594,596,846
2 | 594, 596, 846 |
297, 298, 423 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 157472/2
Therefore the LCM of Fractions 74/594,76/596,224/846 is 78736
Factors of 594
List of positive integer factors of 594 that divides 594 without a remainder.
1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
Greatest Common Factor
We found the factors 594,596,846 . The biggest common factor number is the GCF number.
So the greatest common factor 594,596,846 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 74/594, 76/596, 224/846?
Answer: LCM of Numerators as per given numbers 74/594, 76/596, 224/846 is
LCM of Numerators i.e. for 74,76,224 is 157472
GCF of denominators i.e. for 594,596,846 is 2.
Thus, LCM of Fractions is 78736.Finally, LCM of Fractions for 74/594, 76/596, 224/846 is 78736.