Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 454/84, 463/7996 quickly i.e. 210202/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 454/84, 463/7996 is 210202/4.
LCM(454/84, 463/7996) = 210202/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 454/84,463/7996
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 454,463
Least Common Multiple of Numerators i.e. LCM of 454,463 is 210202.
GCF of Denominators means GCF of 84,7996 as per the given fractions.
GCF of 84,7996 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 454,463
Given numbers has no common factors except 1. So, there LCM is their product i.e 210202
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 454,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,463) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(454,463) x common factors =1 x 1 = 1
LCM(454,463) = ( 454 × 463 ) / 1
LCM(454,463) = 210202 / 1
LCM(454,463) = 210202
Lets's calculate GCF of 84,7996
2 | 84, 7996 |
2 | 42, 3998 |
21, 1999 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210202/4
Therefore the LCM of Fractions 454/84,463/7996 is 210202/4
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 7996
List of positive integer factors of 7996 that divides 7996 without a remainder.
1,2,4,1999,3998,7996
Greatest Common Factor
We found the factors 84,7996 . The biggest common factor number is the GCF number.
So the greatest common factor 84,7996 is 4.
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 454/84, 463/7996?
Answer: LCM of Numerators as per given numbers 454/84, 463/7996 is
LCM of Numerators i.e. for 454,463 is 210202
GCF of denominators i.e. for 84,7996 is 4.
Thus, LCM of Fractions is 210202/4.Finally, LCM of Fractions for 454/84, 463/7996 is 210202/4.