Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 337/60, 622/742 quickly i.e. 104807 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 337/60, 622/742 is 104807.
LCM(337/60, 622/742) = 104807
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 337/60,622/742
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 337,622
Least Common Multiple of Numerators i.e. LCM of 337,622 is 209614.
GCF of Denominators means GCF of 60,742 as per the given fractions.
GCF of 60,742 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 337,622
Given numbers has no common factors except 1. So, there LCM is their product i.e 209614
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 337,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,622) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,622) x common factors =1 x 1 = 1
LCM(337,622) = ( 337 × 622 ) / 1
LCM(337,622) = 209614 / 1
LCM(337,622) = 209614
Lets's calculate GCF of 60,742
2 | 60, 742 |
30, 371 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 209614/2
Therefore the LCM of Fractions 337/60,622/742 is 104807
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 60,742 . The biggest common factor number is the GCF number.
So the greatest common factor 60,742 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 337/60, 622/742?
Answer: LCM of Numerators as per given numbers 337/60, 622/742 is
LCM of Numerators i.e. for 337,622 is 209614
GCF of denominators i.e. for 60,742 is 2.
Thus, LCM of Fractions is 104807.Finally, LCM of Fractions for 337/60, 622/742 is 104807.