Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 485/411, 6154/648 quickly i.e. 2984690/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 485/411, 6154/648 is 2984690/3.
LCM(485/411, 6154/648) = 2984690/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 485/411,6154/648
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 485,6154
Least Common Multiple of Numerators i.e. LCM of 485,6154 is 2984690.
GCF of Denominators means GCF of 411,648 as per the given fractions.
GCF of 411,648 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 485,6154
Given numbers has no common factors except 1. So, there LCM is their product i.e 2984690
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 485,6154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(485,6154) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(485,6154) x common factors =1 x 1 = 1
LCM(485,6154) = ( 485 × 6154 ) / 1
LCM(485,6154) = 2984690 / 1
LCM(485,6154) = 2984690
Lets's calculate GCF of 411,648
3 | 411, 648 |
137, 216 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2984690/3
Therefore the LCM of Fractions 485/411,6154/648 is 2984690/3
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 411,648 . The biggest common factor number is the GCF number.
So the greatest common factor 411,648 is 3.
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 485/411, 6154/648?
Answer: LCM of Numerators as per given numbers 485/411, 6154/648 is
LCM of Numerators i.e. for 485,6154 is 2984690
GCF of denominators i.e. for 411,648 is 3.
Thus, LCM of Fractions is 2984690/3.Finally, LCM of Fractions for 485/411, 6154/648 is 2984690/3.