Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 456/925, 6018/6818 quickly i.e. 457368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 456/925, 6018/6818 is 457368.
LCM(456/925, 6018/6818) = 457368
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 456/925,6018/6818
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 456,6018
Least Common Multiple of Numerators i.e. LCM of 456,6018 is 457368.
GCF of Denominators means GCF of 925,6818 as per the given fractions.
GCF of 925,6818 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 456,6018
2 | 456, 6018 |
3 | 228, 3009 |
76, 1003 |
∴ So the LCM of the given numbers is 2 x 3 x 76 x 1003 = 457368
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 456,6018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(456,6018) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(456,6018) x common factors =6 x 1 = 6
LCM(456,6018) = ( 456 × 6018 ) / 6
LCM(456,6018) = 2744208 / 6
LCM(456,6018) = 457368
Lets's calculate GCF of 925,6818
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 457368/1
Therefore the LCM of Fractions 456/925,6018/6818 is 457368
Factors of 925
List of positive integer factors of 925 that divides 925 without a remainder.
1,5,25,37,185,925
Factors of 6818
List of positive integer factors of 6818 that divides 6818 without a remainder.
1,2,7,14,487,974,3409,6818
Greatest Common Factor
We found the factors 925,6818 . The biggest common factor number is the GCF number.
So the greatest common factor 925,6818 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 456/925, 6018/6818?
Answer: LCM of Numerators as per given numbers 456/925, 6018/6818 is
LCM of Numerators i.e. for 456,6018 is 457368
GCF of denominators i.e. for 925,6818 is 1.
Thus, LCM of Fractions is 457368.Finally, LCM of Fractions for 456/925, 6018/6818 is 457368.