Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 673/46, 490/5166 quickly i.e. 164885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 673/46, 490/5166 is 164885.
LCM(673/46, 490/5166) = 164885
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 673/46,490/5166
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 673,490
Least Common Multiple of Numerators i.e. LCM of 673,490 is 329770.
GCF of Denominators means GCF of 46,5166 as per the given fractions.
GCF of 46,5166 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 673,490
Given numbers has no common factors except 1. So, there LCM is their product i.e 329770
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 673,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(673,490) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(673,490) x common factors =1 x 1 = 1
LCM(673,490) = ( 673 × 490 ) / 1
LCM(673,490) = 329770 / 1
LCM(673,490) = 329770
Lets's calculate GCF of 46,5166
2 | 46, 5166 |
23, 2583 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 329770/2
Therefore the LCM of Fractions 673/46,490/5166 is 164885
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 5166
List of positive integer factors of 5166 that divides 5166 without a remainder.
1,2,3,6,7,9,14,18,21,41,42,63,82,123,126,246,287,369,574,738,861,1722,2583,5166
Greatest Common Factor
We found the factors 46,5166 . The biggest common factor number is the GCF number.
So the greatest common factor 46,5166 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 673/46, 490/5166?
Answer: LCM of Numerators as per given numbers 673/46, 490/5166 is
LCM of Numerators i.e. for 673,490 is 329770
GCF of denominators i.e. for 46,5166 is 2.
Thus, LCM of Fractions is 164885.Finally, LCM of Fractions for 673/46, 490/5166 is 164885.