Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 810/662, 4886/948 quickly i.e. 989415 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 810/662, 4886/948 is 989415.
LCM(810/662, 4886/948) = 989415
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 810/662,4886/948
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 810,4886
Least Common Multiple of Numerators i.e. LCM of 810,4886 is 1978830.
GCF of Denominators means GCF of 662,948 as per the given fractions.
GCF of 662,948 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 810,4886
2 | 810, 4886 |
405, 2443 |
∴ So the LCM of the given numbers is 2 x 405 x 2443 = 1978830
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 810,4886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,4886) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(810,4886) x common factors =2 x 1 = 2
LCM(810,4886) = ( 810 × 4886 ) / 2
LCM(810,4886) = 3957660 / 2
LCM(810,4886) = 1978830
Lets's calculate GCF of 662,948
2 | 662, 948 |
331, 474 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1978830/2
Therefore the LCM of Fractions 810/662,4886/948 is 989415
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Greatest Common Factor
We found the factors 662,948 . The biggest common factor number is the GCF number.
So the greatest common factor 662,948 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 810/662, 4886/948?
Answer: LCM of Numerators as per given numbers 810/662, 4886/948 is
LCM of Numerators i.e. for 810,4886 is 1978830
GCF of denominators i.e. for 662,948 is 2.
Thus, LCM of Fractions is 989415.Finally, LCM of Fractions for 810/662, 4886/948 is 989415.