Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 35/841, 39/300 quickly i.e. 1365 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 35/841, 39/300 is 1365.
LCM(35/841, 39/300) = 1365
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 35/841,39/300
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 35,39
Least Common Multiple of Numerators i.e. LCM of 35,39 is 1365.
GCF of Denominators means GCF of 841,300 as per the given fractions.
GCF of 841,300 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 35,39
Given numbers has no common factors except 1. So, there LCM is their product i.e 1365
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 35,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,39) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(35,39) x common factors =1 x 1 = 1
LCM(35,39) = ( 35 × 39 ) / 1
LCM(35,39) = 1365 / 1
LCM(35,39) = 1365
Lets's calculate GCF of 841,300
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1365/1
Therefore the LCM of Fractions 35/841,39/300 is 1365
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 841,300 . The biggest common factor number is the GCF number.
So the greatest common factor 841,300 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 35/841, 39/300?
Answer: LCM of Numerators as per given numbers 35/841, 39/300 is
LCM of Numerators i.e. for 35,39 is 1365
GCF of denominators i.e. for 841,300 is 1.
Thus, LCM of Fractions is 1365.Finally, LCM of Fractions for 35/841, 39/300 is 1365.