Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 197/685, 650/637, 784/563 quickly i.e. 50195600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 197/685, 650/637, 784/563 is 50195600.
LCM(197/685, 650/637, 784/563) = 50195600
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 197/685,650/637,784/563
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 197,650,784
Least Common Multiple of Numerators i.e. LCM of 197,650,784 is 50195600.
GCF of Denominators means GCF of 685,637,563 as per the given fractions.
GCF of 685,637,563 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 197,650,784
2 | 197, 650, 784 |
197, 325, 392 |
∴ So the LCM of the given numbers is 2 x 197 x 325 x 392 = 50195600
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 197,650,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,650,784) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(197,650,784) x common factors =1 x 2 = 2
LCM(197,650,784) = ( 197 × 650 × 784 ) / 2
LCM(197,650,784) = 100391200 / 2
LCM(197,650,784) = 50195600
Lets's calculate GCF of 685,637,563
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50195600/1
Therefore the LCM of Fractions 197/685,650/637,784/563 is 50195600
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Greatest Common Factor
We found the factors 685,637,563 . The biggest common factor number is the GCF number.
So the greatest common factor 685,637,563 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 197/685, 650/637, 784/563?
Answer: LCM of Numerators as per given numbers 197/685, 650/637, 784/563 is
LCM of Numerators i.e. for 197,650,784 is 50195600
GCF of denominators i.e. for 685,637,563 is 1.
Thus, LCM of Fractions is 50195600.Finally, LCM of Fractions for 197/685, 650/637, 784/563 is 50195600.