Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 672/451, 4668/7180 quickly i.e. 261408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 672/451, 4668/7180 is 261408.
LCM(672/451, 4668/7180) = 261408
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 672/451,4668/7180
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 672,4668
Least Common Multiple of Numerators i.e. LCM of 672,4668 is 261408.
GCF of Denominators means GCF of 451,7180 as per the given fractions.
GCF of 451,7180 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 672,4668
2 | 672, 4668 |
2 | 336, 2334 |
3 | 168, 1167 |
56, 389 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 56 x 389 = 261408
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 672,4668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,4668) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(672,4668) x common factors =12 x 1 = 12
LCM(672,4668) = ( 672 × 4668 ) / 12
LCM(672,4668) = 3136896 / 12
LCM(672,4668) = 261408
Lets's calculate GCF of 451,7180
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 261408/1
Therefore the LCM of Fractions 672/451,4668/7180 is 261408
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Factors of 7180
List of positive integer factors of 7180 that divides 7180 without a remainder.
1,2,4,5,10,20,359,718,1436,1795,3590,7180
Greatest Common Factor
We found the factors 451,7180 . The biggest common factor number is the GCF number.
So the greatest common factor 451,7180 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 672/451, 4668/7180?
Answer: LCM of Numerators as per given numbers 672/451, 4668/7180 is
LCM of Numerators i.e. for 672,4668 is 261408
GCF of denominators i.e. for 451,7180 is 1.
Thus, LCM of Fractions is 261408.Finally, LCM of Fractions for 672/451, 4668/7180 is 261408.