Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 685/247, 9807/741 quickly i.e. 6717795/247 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 685/247, 9807/741 is 6717795/247.
LCM(685/247, 9807/741) = 6717795/247
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 685/247,9807/741
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 685,9807
Least Common Multiple of Numerators i.e. LCM of 685,9807 is 6717795.
GCF of Denominators means GCF of 247,741 as per the given fractions.
GCF of 247,741 is 247 as it is the largest common factor for these numbers.
Lets's calculate LCM of 685,9807
Given numbers has no common factors except 1. So, there LCM is their product i.e 6717795
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 685,9807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,9807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,9807) x common factors =1 x 1 = 1
LCM(685,9807) = ( 685 × 9807 ) / 1
LCM(685,9807) = 6717795 / 1
LCM(685,9807) = 6717795
Lets's calculate GCF of 247,741
13 | 247, 741 |
19 | 19, 57 |
1, 3 |
∴ So the GCF of the given numbers is 13 x 19 = 247
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6717795/247
Therefore the LCM of Fractions 685/247,9807/741 is 6717795/247
Factors of 247
List of positive integer factors of 247 that divides 247 without a remainder.
1,13,19,247
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Greatest Common Factor
We found the factors 247,741 . The biggest common factor number is the GCF number.
So the greatest common factor 247,741 is 247.
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 685/247, 9807/741?
Answer: LCM of Numerators as per given numbers 685/247, 9807/741 is
LCM of Numerators i.e. for 685,9807 is 6717795
GCF of denominators i.e. for 247,741 is 247.
Thus, LCM of Fractions is 6717795/247.Finally, LCM of Fractions for 685/247, 9807/741 is 6717795/247.