Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 454/908, 483/434 quickly i.e. 109641 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 454/908, 483/434 is 109641.
LCM(454/908, 483/434) = 109641
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 454/908,483/434
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 454,483
Least Common Multiple of Numerators i.e. LCM of 454,483 is 219282.
GCF of Denominators means GCF of 908,434 as per the given fractions.
GCF of 908,434 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 454,483
Given numbers has no common factors except 1. So, there LCM is their product i.e 219282
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 454,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,483) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,483) x common factors =1 x 1 = 1
LCM(454,483) = ( 454 × 483 ) / 1
LCM(454,483) = 219282 / 1
LCM(454,483) = 219282
Lets's calculate GCF of 908,434
2 | 908, 434 |
454, 217 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219282/2
Therefore the LCM of Fractions 454/908,483/434 is 109641
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 908,434 . The biggest common factor number is the GCF number.
So the greatest common factor 908,434 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 454/908, 483/434?
Answer: LCM of Numerators as per given numbers 454/908, 483/434 is
LCM of Numerators i.e. for 454,483 is 219282
GCF of denominators i.e. for 908,434 is 2.
Thus, LCM of Fractions is 109641.Finally, LCM of Fractions for 454/908, 483/434 is 109641.