Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 945/36, 908/6514 quickly i.e. 429030 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 945/36, 908/6514 is 429030.
LCM(945/36, 908/6514) = 429030
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 945/36,908/6514
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 945,908
Least Common Multiple of Numerators i.e. LCM of 945,908 is 858060.
GCF of Denominators means GCF of 36,6514 as per the given fractions.
GCF of 36,6514 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 945,908
Given numbers has no common factors except 1. So, there LCM is their product i.e 858060
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 945,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,908) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(945,908) x common factors =1 x 1 = 1
LCM(945,908) = ( 945 × 908 ) / 1
LCM(945,908) = 858060 / 1
LCM(945,908) = 858060
Lets's calculate GCF of 36,6514
2 | 36, 6514 |
18, 3257 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 858060/2
Therefore the LCM of Fractions 945/36,908/6514 is 429030
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 6514
List of positive integer factors of 6514 that divides 6514 without a remainder.
1,2,3257,6514
Greatest Common Factor
We found the factors 36,6514 . The biggest common factor number is the GCF number.
So the greatest common factor 36,6514 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 945/36, 908/6514?
Answer: LCM of Numerators as per given numbers 945/36, 908/6514 is
LCM of Numerators i.e. for 945,908 is 858060
GCF of denominators i.e. for 36,6514 is 2.
Thus, LCM of Fractions is 429030.Finally, LCM of Fractions for 945/36, 908/6514 is 429030.