Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 462/95, 594/4645 quickly i.e. 4158/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 462/95, 594/4645 is 4158/5.
LCM(462/95, 594/4645) = 4158/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 462/95,594/4645
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 462,594
Least Common Multiple of Numerators i.e. LCM of 462,594 is 4158.
GCF of Denominators means GCF of 95,4645 as per the given fractions.
GCF of 95,4645 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 462,594
2 | 462, 594 |
3 | 231, 297 |
11 | 77, 99 |
7, 9 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 7 x 9 = 4158
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 462,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(462,594) = 66
common factors(in case of two or more numbers have common factors) = 1
GCF(462,594) x common factors =66 x 1 = 66
LCM(462,594) = ( 462 × 594 ) / 66
LCM(462,594) = 274428 / 66
LCM(462,594) = 4158
Lets's calculate GCF of 95,4645
5 | 95, 4645 |
19, 929 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4158/5
Therefore the LCM of Fractions 462/95,594/4645 is 4158/5
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 4645
List of positive integer factors of 4645 that divides 4645 without a remainder.
1,5,929,4645
Greatest Common Factor
We found the factors 95,4645 . The biggest common factor number is the GCF number.
So the greatest common factor 95,4645 is 5.
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 462/95, 594/4645?
Answer: LCM of Numerators as per given numbers 462/95, 594/4645 is
LCM of Numerators i.e. for 462,594 is 4158
GCF of denominators i.e. for 95,4645 is 5.
Thus, LCM of Fractions is 4158/5.Finally, LCM of Fractions for 462/95, 594/4645 is 4158/5.