Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 60/511, 84/242, 371/596 quickly i.e. 22260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 60/511, 84/242, 371/596 is 22260.
LCM(60/511, 84/242, 371/596) = 22260
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 60/511,84/242,371/596
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 60,84,371
Least Common Multiple of Numerators i.e. LCM of 60,84,371 is 22260.
GCF of Denominators means GCF of 511,242,596 as per the given fractions.
GCF of 511,242,596 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 60,84,371
2 | 60, 84, 371 |
2 | 30, 42, 371 |
3 | 15, 21, 371 |
7 | 5, 7, 371 |
5, 1, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 5 x 1 x 53 = 22260
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 60,84,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,84,371) = 1
common factors(in case of two or more numbers have common factors) = 84
GCF(60,84,371) x common factors =1 x 84 = 84
LCM(60,84,371) = ( 60 × 84 × 371 ) / 84
LCM(60,84,371) = 1869840 / 84
LCM(60,84,371) = 22260
Lets's calculate GCF of 511,242,596
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22260/1
Therefore the LCM of Fractions 60/511,84/242,371/596 is 22260
Factors of 511
List of positive integer factors of 511 that divides 511 without a remainder.
1,7,73,511
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Greatest Common Factor
We found the factors 511,242,596 . The biggest common factor number is the GCF number.
So the greatest common factor 511,242,596 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 60/511, 84/242, 371/596?
Answer: LCM of Numerators as per given numbers 60/511, 84/242, 371/596 is
LCM of Numerators i.e. for 60,84,371 is 22260
GCF of denominators i.e. for 511,242,596 is 1.
Thus, LCM of Fractions is 22260.Finally, LCM of Fractions for 60/511, 84/242, 371/596 is 22260.