Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/757, 849/819, 966/636 quickly i.e. 273378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/757, 849/819, 966/636 is 273378.
LCM(42/757, 849/819, 966/636) = 273378
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/757,849/819,966/636
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 42,849,966
Least Common Multiple of Numerators i.e. LCM of 42,849,966 is 273378.
GCF of Denominators means GCF of 757,819,636 as per the given fractions.
GCF of 757,819,636 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,849,966
2 | 42, 849, 966 |
3 | 21, 849, 483 |
7 | 7, 283, 161 |
1, 283, 23 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 283 x 23 = 273378
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 42,849,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,849,966) = 3
common factors(in case of two or more numbers have common factors) = 42
GCF(42,849,966) x common factors =3 x 42 = 126
LCM(42,849,966) = ( 42 × 849 × 966 ) / 126
LCM(42,849,966) = 34445628 / 126
LCM(42,849,966) = 273378
Lets's calculate GCF of 757,819,636
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273378/1
Therefore the LCM of Fractions 42/757,849/819,966/636 is 273378
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Factors of 819
List of positive integer factors of 819 that divides 819 without a remainder.
1,3,7,9,13,21,39,63,91,117,273,819
Factors of 636
List of positive integer factors of 636 that divides 636 without a remainder.
1,2,3,4,6,12,53,106,159,212,318,636
Greatest Common Factor
We found the factors 757,819,636 . The biggest common factor number is the GCF number.
So the greatest common factor 757,819,636 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 42/757, 849/819, 966/636?
Answer: LCM of Numerators as per given numbers 42/757, 849/819, 966/636 is
LCM of Numerators i.e. for 42,849,966 is 273378
GCF of denominators i.e. for 757,819,636 is 1.
Thus, LCM of Fractions is 273378.Finally, LCM of Fractions for 42/757, 849/819, 966/636 is 273378.