Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 179/945, 6661/135 quickly i.e. 1192319/135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 179/945, 6661/135 is 1192319/135.
LCM(179/945, 6661/135) = 1192319/135
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 179/945,6661/135
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 179,6661
Least Common Multiple of Numerators i.e. LCM of 179,6661 is 1192319.
GCF of Denominators means GCF of 945,135 as per the given fractions.
GCF of 945,135 is 135 as it is the largest common factor for these numbers.
Lets's calculate LCM of 179,6661
Given numbers has no common factors except 1. So, there LCM is their product i.e 1192319
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 179,6661 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,6661) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,6661) x common factors =1 x 1 = 1
LCM(179,6661) = ( 179 × 6661 ) / 1
LCM(179,6661) = 1192319 / 1
LCM(179,6661) = 1192319
Lets's calculate GCF of 945,135
3 | 945, 135 |
3 | 315, 45 |
3 | 105, 15 |
5 | 35, 5 |
7, 1 |
∴ So the GCF of the given numbers is 3 x 3 x 3 x 5 = 135
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1192319/135
Therefore the LCM of Fractions 179/945,6661/135 is 1192319/135
Factors of 945
List of positive integer factors of 945 that divides 945 without a remainder.
1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945
Factors of 135
List of positive integer factors of 135 that divides 135 without a remainder.
1,3,5,9,15,27,45,135
Greatest Common Factor
We found the factors 945,135 . The biggest common factor number is the GCF number.
So the greatest common factor 945,135 is 135.
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 179/945, 6661/135?
Answer: LCM of Numerators as per given numbers 179/945, 6661/135 is
LCM of Numerators i.e. for 179,6661 is 1192319
GCF of denominators i.e. for 945,135 is 135.
Thus, LCM of Fractions is 1192319/135.Finally, LCM of Fractions for 179/945, 6661/135 is 1192319/135.