Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/697, 9092/4341 quickly i.e. 390956 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/697, 9092/4341 is 390956.
LCM(43/697, 9092/4341) = 390956
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/697,9092/4341
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 43,9092
Least Common Multiple of Numerators i.e. LCM of 43,9092 is 390956.
GCF of Denominators means GCF of 697,4341 as per the given fractions.
GCF of 697,4341 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,9092
Given numbers has no common factors except 1. So, there LCM is their product i.e 390956
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 43,9092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,9092) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,9092) x common factors =1 x 1 = 1
LCM(43,9092) = ( 43 × 9092 ) / 1
LCM(43,9092) = 390956 / 1
LCM(43,9092) = 390956
Lets's calculate GCF of 697,4341
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 390956/1
Therefore the LCM of Fractions 43/697,9092/4341 is 390956
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Factors of 4341
List of positive integer factors of 4341 that divides 4341 without a remainder.
1,3,1447,4341
Greatest Common Factor
We found the factors 697,4341 . The biggest common factor number is the GCF number.
So the greatest common factor 697,4341 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 43/697, 9092/4341?
Answer: LCM of Numerators as per given numbers 43/697, 9092/4341 is
LCM of Numerators i.e. for 43,9092 is 390956
GCF of denominators i.e. for 697,4341 is 1.
Thus, LCM of Fractions is 390956.Finally, LCM of Fractions for 43/697, 9092/4341 is 390956.