Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8734/636, 3350/2302 quickly i.e. 7314725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8734/636, 3350/2302 is 7314725.
LCM(8734/636, 3350/2302) = 7314725
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8734/636,3350/2302
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 8734,3350
Least Common Multiple of Numerators i.e. LCM of 8734,3350 is 14629450.
GCF of Denominators means GCF of 636,2302 as per the given fractions.
GCF of 636,2302 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8734,3350
2 | 8734, 3350 |
4367, 1675 |
∴ So the LCM of the given numbers is 2 x 4367 x 1675 = 14629450
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 8734,3350 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8734,3350) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(8734,3350) x common factors =2 x 1 = 2
LCM(8734,3350) = ( 8734 × 3350 ) / 2
LCM(8734,3350) = 29258900 / 2
LCM(8734,3350) = 14629450
Lets's calculate GCF of 636,2302
2 | 636, 2302 |
318, 1151 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14629450/2
Therefore the LCM of Fractions 8734/636,3350/2302 is 7314725
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Factors of 2302
List of positive integer factors of 2302 that divides 2302 without a remainder.
1,2,1151,2302
Greatest Common Factor
We found the factors 636,2302 . The biggest common factor number is the GCF number.
So the greatest common factor 636,2302 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 8734/636, 3350/2302?
Answer: LCM of Numerators as per given numbers 8734/636, 3350/2302 is
LCM of Numerators i.e. for 8734,3350 is 14629450
GCF of denominators i.e. for 636,2302 is 2.
Thus, LCM of Fractions is 7314725.Finally, LCM of Fractions for 8734/636, 3350/2302 is 7314725.