Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 697/10, 626/3713 quickly i.e. 436322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 697/10, 626/3713 is 436322.
LCM(697/10, 626/3713) = 436322
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 697/10,626/3713
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 697,626
Least Common Multiple of Numerators i.e. LCM of 697,626 is 436322.
GCF of Denominators means GCF of 10,3713 as per the given fractions.
GCF of 10,3713 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 697,626
Given numbers has no common factors except 1. So, there LCM is their product i.e 436322
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 697,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,626) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(697,626) x common factors =1 x 1 = 1
LCM(697,626) = ( 697 × 626 ) / 1
LCM(697,626) = 436322 / 1
LCM(697,626) = 436322
Lets's calculate GCF of 10,3713
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 436322/1
Therefore the LCM of Fractions 697/10,626/3713 is 436322
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 3713
List of positive integer factors of 3713 that divides 3713 without a remainder.
1,47,79,3713
Greatest Common Factor
We found the factors 10,3713 . The biggest common factor number is the GCF number.
So the greatest common factor 10,3713 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 697/10, 626/3713?
Answer: LCM of Numerators as per given numbers 697/10, 626/3713 is
LCM of Numerators i.e. for 697,626 is 436322
GCF of denominators i.e. for 10,3713 is 1.
Thus, LCM of Fractions is 436322.Finally, LCM of Fractions for 697/10, 626/3713 is 436322.