Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 672/414, 500/454 quickly i.e. 42000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 672/414, 500/454 is 42000.
LCM(672/414, 500/454) = 42000
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 672/414,500/454
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 672,500
Least Common Multiple of Numerators i.e. LCM of 672,500 is 84000.
GCF of Denominators means GCF of 414,454 as per the given fractions.
GCF of 414,454 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 672,500
2 | 672, 500 |
2 | 336, 250 |
168, 125 |
∴ So the LCM of the given numbers is 2 x 2 x 168 x 125 = 84000
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 672,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,500) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(672,500) x common factors =4 x 1 = 4
LCM(672,500) = ( 672 × 500 ) / 4
LCM(672,500) = 336000 / 4
LCM(672,500) = 84000
Lets's calculate GCF of 414,454
2 | 414, 454 |
207, 227 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84000/2
Therefore the LCM of Fractions 672/414,500/454 is 42000
Factors of 414
List of positive integer factors of 414 that divides 414 without a remainder.
1,2,3,6,9,18,23,46,69,138,207,414
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Greatest Common Factor
We found the factors 414,454 . The biggest common factor number is the GCF number.
So the greatest common factor 414,454 is 2.
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 672/414, 500/454?
Answer: LCM of Numerators as per given numbers 672/414, 500/454 is
LCM of Numerators i.e. for 672,500 is 84000
GCF of denominators i.e. for 414,454 is 2.
Thus, LCM of Fractions is 42000.Finally, LCM of Fractions for 672/414, 500/454 is 42000.