Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6847/210, 8636/426 quickly i.e. 59130692/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6847/210, 8636/426 is 59130692/6.
LCM(6847/210, 8636/426) = 59130692/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6847/210,8636/426
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 6847,8636
Least Common Multiple of Numerators i.e. LCM of 6847,8636 is 59130692.
GCF of Denominators means GCF of 210,426 as per the given fractions.
GCF of 210,426 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6847,8636
Given numbers has no common factors except 1. So, there LCM is their product i.e 59130692
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 6847,8636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6847,8636) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6847,8636) x common factors =1 x 1 = 1
LCM(6847,8636) = ( 6847 × 8636 ) / 1
LCM(6847,8636) = 59130692 / 1
LCM(6847,8636) = 59130692
Lets's calculate GCF of 210,426
2 | 210, 426 |
3 | 105, 213 |
35, 71 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59130692/6
Therefore the LCM of Fractions 6847/210,8636/426 is 59130692/6
Factors of 210
List of positive integer factors of 210 that divides 210 without a remainder.
1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 210,426 . The biggest common factor number is the GCF number.
So the greatest common factor 210,426 is 6.
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 6847/210, 8636/426?
Answer: LCM of Numerators as per given numbers 6847/210, 8636/426 is
LCM of Numerators i.e. for 6847,8636 is 59130692
GCF of denominators i.e. for 210,426 is 6.
Thus, LCM of Fractions is 59130692/6.Finally, LCM of Fractions for 6847/210, 8636/426 is 59130692/6.