Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 354/773, 8190/6137 quickly i.e. 483210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 354/773, 8190/6137 is 483210.
LCM(354/773, 8190/6137) = 483210
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 354/773,8190/6137
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 354,8190
Least Common Multiple of Numerators i.e. LCM of 354,8190 is 483210.
GCF of Denominators means GCF of 773,6137 as per the given fractions.
GCF of 773,6137 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 354,8190
2 | 354, 8190 |
3 | 177, 4095 |
59, 1365 |
∴ So the LCM of the given numbers is 2 x 3 x 59 x 1365 = 483210
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 354,8190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,8190) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(354,8190) x common factors =6 x 1 = 6
LCM(354,8190) = ( 354 × 8190 ) / 6
LCM(354,8190) = 2899260 / 6
LCM(354,8190) = 483210
Lets's calculate GCF of 773,6137
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 483210/1
Therefore the LCM of Fractions 354/773,8190/6137 is 483210
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Factors of 6137
List of positive integer factors of 6137 that divides 6137 without a remainder.
1,17,19,323,361,6137
Greatest Common Factor
We found the factors 773,6137 . The biggest common factor number is the GCF number.
So the greatest common factor 773,6137 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 354/773, 8190/6137?
Answer: LCM of Numerators as per given numbers 354/773, 8190/6137 is
LCM of Numerators i.e. for 354,8190 is 483210
GCF of denominators i.e. for 773,6137 is 1.
Thus, LCM of Fractions is 483210.Finally, LCM of Fractions for 354/773, 8190/6137 is 483210.