Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/821, 36/499, 62/697 quickly i.e. 5580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/821, 36/499, 62/697 is 5580.
LCM(5/821, 36/499, 62/697) = 5580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/821,36/499,62/697
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 5,36,62
Least Common Multiple of Numerators i.e. LCM of 5,36,62 is 5580.
GCF of Denominators means GCF of 821,499,697 as per the given fractions.
GCF of 821,499,697 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,36,62
2 | 5, 36, 62 |
5, 18, 31 |
∴ So the LCM of the given numbers is 2 x 5 x 18 x 31 = 5580
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 5,36,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,36,62) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(5,36,62) x common factors =1 x 2 = 2
LCM(5,36,62) = ( 5 × 36 × 62 ) / 2
LCM(5,36,62) = 11160 / 2
LCM(5,36,62) = 5580
Lets's calculate GCF of 821,499,697
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5580/1
Therefore the LCM of Fractions 5/821,36/499,62/697 is 5580
Factors of 821
List of positive integer factors of 821 that divides 821 without a remainder.
1,821
Factors of 499
List of positive integer factors of 499 that divides 499 without a remainder.
1,499
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Greatest Common Factor
We found the factors 821,499,697 . The biggest common factor number is the GCF number.
So the greatest common factor 821,499,697 is 1.
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 5/821, 36/499, 62/697?
Answer: LCM of Numerators as per given numbers 5/821, 36/499, 62/697 is
LCM of Numerators i.e. for 5,36,62 is 5580
GCF of denominators i.e. for 821,499,697 is 1.
Thus, LCM of Fractions is 5580.Finally, LCM of Fractions for 5/821, 36/499, 62/697 is 5580.