Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 937/327, 558/531, 534/441 quickly i.e. 15511098 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 937/327, 558/531, 534/441 is 15511098.
LCM(937/327, 558/531, 534/441) = 15511098
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 937/327,558/531,534/441
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 937,558,534
Least Common Multiple of Numerators i.e. LCM of 937,558,534 is 46533294.
GCF of Denominators means GCF of 327,531,441 as per the given fractions.
GCF of 327,531,441 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 937,558,534
2 | 937, 558, 534 |
3 | 937, 279, 267 |
937, 93, 89 |
∴ So the LCM of the given numbers is 2 x 3 x 937 x 93 x 89 = 46533294
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 937,558,534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,558,534) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(937,558,534) x common factors =1 x 6 = 6
LCM(937,558,534) = ( 937 × 558 × 534 ) / 6
LCM(937,558,534) = 279199764 / 6
LCM(937,558,534) = 46533294
Lets's calculate GCF of 327,531,441
3 | 327, 531, 441 |
109, 177, 147 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46533294/3
Therefore the LCM of Fractions 937/327,558/531,534/441 is 15511098
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Factors of 441
List of positive integer factors of 441 that divides 441 without a remainder.
1,3,7,9,21,49,63,147,441
Greatest Common Factor
We found the factors 327,531,441 . The biggest common factor number is the GCF number.
So the greatest common factor 327,531,441 is 3.
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 937/327, 558/531, 534/441?
Answer: LCM of Numerators as per given numbers 937/327, 558/531, 534/441 is
LCM of Numerators i.e. for 937,558,534 is 46533294
GCF of denominators i.e. for 327,531,441 is 3.
Thus, LCM of Fractions is 15511098.Finally, LCM of Fractions for 937/327, 558/531, 534/441 is 15511098.