Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 759/86, 927/54, 546/174 quickly i.e. 21342321 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 759/86, 927/54, 546/174 is 21342321.
LCM(759/86, 927/54, 546/174) = 21342321
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 759/86,927/54,546/174
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 759,927,546
Least Common Multiple of Numerators i.e. LCM of 759,927,546 is 42684642.
GCF of Denominators means GCF of 86,54,174 as per the given fractions.
GCF of 86,54,174 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 759,927,546
3 | 759, 927, 546 |
253, 309, 182 |
∴ So the LCM of the given numbers is 3 x 253 x 309 x 182 = 42684642
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 759,927,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(759,927,546) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(759,927,546) x common factors =3 x 3 = 9
LCM(759,927,546) = ( 759 × 927 × 546 ) / 9
LCM(759,927,546) = 384161778 / 9
LCM(759,927,546) = 42684642
Lets's calculate GCF of 86,54,174
2 | 86, 54, 174 |
43, 27, 87 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42684642/2
Therefore the LCM of Fractions 759/86,927/54,546/174 is 21342321
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Greatest Common Factor
We found the factors 86,54,174 . The biggest common factor number is the GCF number.
So the greatest common factor 86,54,174 is 2.
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 759/86, 927/54, 546/174?
Answer: LCM of Numerators as per given numbers 759/86, 927/54, 546/174 is
LCM of Numerators i.e. for 759,927,546 is 42684642
GCF of denominators i.e. for 86,54,174 is 2.
Thus, LCM of Fractions is 21342321.Finally, LCM of Fractions for 759/86, 927/54, 546/174 is 21342321.