Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6836/390, 8725/545 quickly i.e. 11928820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6836/390, 8725/545 is 11928820.
LCM(6836/390, 8725/545) = 11928820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6836/390,8725/545
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 6836,8725
Least Common Multiple of Numerators i.e. LCM of 6836,8725 is 59644100.
GCF of Denominators means GCF of 390,545 as per the given fractions.
GCF of 390,545 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6836,8725
Given numbers has no common factors except 1. So, there LCM is their product i.e 59644100
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 6836,8725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6836,8725) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6836,8725) x common factors =1 x 1 = 1
LCM(6836,8725) = ( 6836 × 8725 ) / 1
LCM(6836,8725) = 59644100 / 1
LCM(6836,8725) = 59644100
Lets's calculate GCF of 390,545
5 | 390, 545 |
78, 109 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59644100/5
Therefore the LCM of Fractions 6836/390,8725/545 is 11928820
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Greatest Common Factor
We found the factors 390,545 . The biggest common factor number is the GCF number.
So the greatest common factor 390,545 is 5.
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 6836/390, 8725/545?
Answer: LCM of Numerators as per given numbers 6836/390, 8725/545 is
LCM of Numerators i.e. for 6836,8725 is 59644100
GCF of denominators i.e. for 390,545 is 5.
Thus, LCM of Fractions is 11928820.Finally, LCM of Fractions for 6836/390, 8725/545 is 11928820.