Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2435/708, 3362/209 quickly i.e. 8186470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2435/708, 3362/209 is 8186470.
LCM(2435/708, 3362/209) = 8186470
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2435/708,3362/209
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 2435,3362
Least Common Multiple of Numerators i.e. LCM of 2435,3362 is 8186470.
GCF of Denominators means GCF of 708,209 as per the given fractions.
GCF of 708,209 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2435,3362
Given numbers has no common factors except 1. So, there LCM is their product i.e 8186470
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 2435,3362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2435,3362) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2435,3362) x common factors =1 x 1 = 1
LCM(2435,3362) = ( 2435 × 3362 ) / 1
LCM(2435,3362) = 8186470 / 1
LCM(2435,3362) = 8186470
Lets's calculate GCF of 708,209
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8186470/1
Therefore the LCM of Fractions 2435/708,3362/209 is 8186470
Factors of 708
List of positive integer factors of 708 that divides 708 without a remainder.
1,2,3,4,6,12,59,118,177,236,354,708
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Greatest Common Factor
We found the factors 708,209 . The biggest common factor number is the GCF number.
So the greatest common factor 708,209 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 2435/708, 3362/209?
Answer: LCM of Numerators as per given numbers 2435/708, 3362/209 is
LCM of Numerators i.e. for 2435,3362 is 8186470
GCF of denominators i.e. for 708,209 is 1.
Thus, LCM of Fractions is 8186470.Finally, LCM of Fractions for 2435/708, 3362/209 is 8186470.