Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 406/88, 519/5114 quickly i.e. 105357 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 406/88, 519/5114 is 105357.
LCM(406/88, 519/5114) = 105357
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 406/88,519/5114
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 406,519
Least Common Multiple of Numerators i.e. LCM of 406,519 is 210714.
GCF of Denominators means GCF of 88,5114 as per the given fractions.
GCF of 88,5114 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 406,519
Given numbers has no common factors except 1. So, there LCM is their product i.e 210714
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 406,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,519) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(406,519) x common factors =1 x 1 = 1
LCM(406,519) = ( 406 × 519 ) / 1
LCM(406,519) = 210714 / 1
LCM(406,519) = 210714
Lets's calculate GCF of 88,5114
2 | 88, 5114 |
44, 2557 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210714/2
Therefore the LCM of Fractions 406/88,519/5114 is 105357
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 5114
List of positive integer factors of 5114 that divides 5114 without a remainder.
1,2,2557,5114
Greatest Common Factor
We found the factors 88,5114 . The biggest common factor number is the GCF number.
So the greatest common factor 88,5114 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 406/88, 519/5114?
Answer: LCM of Numerators as per given numbers 406/88, 519/5114 is
LCM of Numerators i.e. for 406,519 is 210714
GCF of denominators i.e. for 88,5114 is 2.
Thus, LCM of Fractions is 105357.Finally, LCM of Fractions for 406/88, 519/5114 is 105357.