Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 840/784, 5600/594 quickly i.e. 8400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 840/784, 5600/594 is 8400.
LCM(840/784, 5600/594) = 8400
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 840/784,5600/594
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 840,5600
Least Common Multiple of Numerators i.e. LCM of 840,5600 is 16800.
GCF of Denominators means GCF of 784,594 as per the given fractions.
GCF of 784,594 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 840,5600
2 | 840, 5600 |
2 | 420, 2800 |
2 | 210, 1400 |
5 | 105, 700 |
7 | 21, 140 |
3, 20 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 7 x 3 x 20 = 16800
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 840,5600 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,5600) = 280
common factors(in case of two or more numbers have common factors) = 1
GCF(840,5600) x common factors =280 x 1 = 280
LCM(840,5600) = ( 840 × 5600 ) / 280
LCM(840,5600) = 4704000 / 280
LCM(840,5600) = 16800
Lets's calculate GCF of 784,594
2 | 784, 594 |
392, 297 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16800/2
Therefore the LCM of Fractions 840/784,5600/594 is 8400
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
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
Greatest Common Factor
We found the factors 784,594 . The biggest common factor number is the GCF number.
So the greatest common factor 784,594 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 840/784, 5600/594?
Answer: LCM of Numerators as per given numbers 840/784, 5600/594 is
LCM of Numerators i.e. for 840,5600 is 16800
GCF of denominators i.e. for 784,594 is 2.
Thus, LCM of Fractions is 8400.Finally, LCM of Fractions for 840/784, 5600/594 is 8400.