Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 460/362, 491/858 quickly i.e. 112930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 460/362, 491/858 is 112930.
LCM(460/362, 491/858) = 112930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 460/362,491/858
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 460,491
Least Common Multiple of Numerators i.e. LCM of 460,491 is 225860.
GCF of Denominators means GCF of 362,858 as per the given fractions.
GCF of 362,858 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 460,491
Given numbers has no common factors except 1. So, there LCM is their product i.e 225860
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 460,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(460,491) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(460,491) x common factors =1 x 1 = 1
LCM(460,491) = ( 460 × 491 ) / 1
LCM(460,491) = 225860 / 1
LCM(460,491) = 225860
Lets's calculate GCF of 362,858
2 | 362, 858 |
181, 429 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 225860/2
Therefore the LCM of Fractions 460/362,491/858 is 112930
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Factors of 858
List of positive integer factors of 858 that divides 858 without a remainder.
1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 362,858 . The biggest common factor number is the GCF number.
So the greatest common factor 362,858 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 460/362, 491/858?
Answer: LCM of Numerators as per given numbers 460/362, 491/858 is
LCM of Numerators i.e. for 460,491 is 225860
GCF of denominators i.e. for 362,858 is 2.
Thus, LCM of Fractions is 112930.Finally, LCM of Fractions for 460/362, 491/858 is 112930.