Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 452/454, 957/812 quickly i.e. 216282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 452/454, 957/812 is 216282.
LCM(452/454, 957/812) = 216282
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 452/454,957/812
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 452,957
Least Common Multiple of Numerators i.e. LCM of 452,957 is 432564.
GCF of Denominators means GCF of 454,812 as per the given fractions.
GCF of 454,812 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 452,957
Given numbers has no common factors except 1. So, there LCM is their product i.e 432564
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 452,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(452,957) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(452,957) x common factors =1 x 1 = 1
LCM(452,957) = ( 452 × 957 ) / 1
LCM(452,957) = 432564 / 1
LCM(452,957) = 432564
Lets's calculate GCF of 454,812
2 | 454, 812 |
227, 406 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 432564/2
Therefore the LCM of Fractions 452/454,957/812 is 216282
Factors of 454
List of positive integer factors of 454 that divides 454 without a remainder.
1,2,227,454
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Greatest Common Factor
We found the factors 454,812 . The biggest common factor number is the GCF number.
So the greatest common factor 454,812 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 452/454, 957/812?
Answer: LCM of Numerators as per given numbers 452/454, 957/812 is
LCM of Numerators i.e. for 452,957 is 432564
GCF of denominators i.e. for 454,812 is 2.
Thus, LCM of Fractions is 216282.Finally, LCM of Fractions for 452/454, 957/812 is 216282.