Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 418/168, 766/530 quickly i.e. 80047 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 418/168, 766/530 is 80047.
LCM(418/168, 766/530) = 80047
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 418/168,766/530
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 418,766
Least Common Multiple of Numerators i.e. LCM of 418,766 is 160094.
GCF of Denominators means GCF of 168,530 as per the given fractions.
GCF of 168,530 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 418,766
2 | 418, 766 |
209, 383 |
∴ So the LCM of the given numbers is 2 x 209 x 383 = 160094
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 418,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,766) x common factors =2 x 1 = 2
LCM(418,766) = ( 418 × 766 ) / 2
LCM(418,766) = 320188 / 2
LCM(418,766) = 160094
Lets's calculate GCF of 168,530
2 | 168, 530 |
84, 265 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 160094/2
Therefore the LCM of Fractions 418/168,766/530 is 80047
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Greatest Common Factor
We found the factors 168,530 . The biggest common factor number is the GCF number.
So the greatest common factor 168,530 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 418/168, 766/530?
Answer: LCM of Numerators as per given numbers 418/168, 766/530 is
LCM of Numerators i.e. for 418,766 is 160094
GCF of denominators i.e. for 168,530 is 2.
Thus, LCM of Fractions is 80047.Finally, LCM of Fractions for 418/168, 766/530 is 80047.