Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1194/164, 1775/786 quickly i.e. 1059675 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1194/164, 1775/786 is 1059675.
LCM(1194/164, 1775/786) = 1059675
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1194/164,1775/786
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 1194,1775
Least Common Multiple of Numerators i.e. LCM of 1194,1775 is 2119350.
GCF of Denominators means GCF of 164,786 as per the given fractions.
GCF of 164,786 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1194,1775
Given numbers has no common factors except 1. So, there LCM is their product i.e 2119350
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 1194,1775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1194,1775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1194,1775) x common factors =1 x 1 = 1
LCM(1194,1775) = ( 1194 × 1775 ) / 1
LCM(1194,1775) = 2119350 / 1
LCM(1194,1775) = 2119350
Lets's calculate GCF of 164,786
2 | 164, 786 |
82, 393 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2119350/2
Therefore the LCM of Fractions 1194/164,1775/786 is 1059675
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 164,786 . The biggest common factor number is the GCF number.
So the greatest common factor 164,786 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 1194/164, 1775/786?
Answer: LCM of Numerators as per given numbers 1194/164, 1775/786 is
LCM of Numerators i.e. for 1194,1775 is 2119350
GCF of denominators i.e. for 164,786 is 2.
Thus, LCM of Fractions is 1059675.Finally, LCM of Fractions for 1194/164, 1775/786 is 1059675.