Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/76, 369/65, 909/387 quickly i.e. 2310678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/76, 369/65, 909/387 is 2310678.
LCM(62/76, 369/65, 909/387) = 2310678
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/76,369/65,909/387
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 62,369,909
Least Common Multiple of Numerators i.e. LCM of 62,369,909 is 2310678.
GCF of Denominators means GCF of 76,65,387 as per the given fractions.
GCF of 76,65,387 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,369,909
3 | 62, 369, 909 |
3 | 62, 123, 303 |
62, 41, 101 |
∴ So the LCM of the given numbers is 3 x 3 x 62 x 41 x 101 = 2310678
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 62,369,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,369,909) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(62,369,909) x common factors =1 x 9 = 9
LCM(62,369,909) = ( 62 × 369 × 909 ) / 9
LCM(62,369,909) = 20796102 / 9
LCM(62,369,909) = 2310678
Lets's calculate GCF of 76,65,387
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2310678/1
Therefore the LCM of Fractions 62/76,369/65,909/387 is 2310678
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Greatest Common Factor
We found the factors 76,65,387 . The biggest common factor number is the GCF number.
So the greatest common factor 76,65,387 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 62/76, 369/65, 909/387?
Answer: LCM of Numerators as per given numbers 62/76, 369/65, 909/387 is
LCM of Numerators i.e. for 62,369,909 is 2310678
GCF of denominators i.e. for 76,65,387 is 1.
Thus, LCM of Fractions is 2310678.Finally, LCM of Fractions for 62/76, 369/65, 909/387 is 2310678.