Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9570/278, 3964/792 quickly i.e. 9483870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9570/278, 3964/792 is 9483870.
LCM(9570/278, 3964/792) = 9483870
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9570/278,3964/792
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 9570,3964
Least Common Multiple of Numerators i.e. LCM of 9570,3964 is 18967740.
GCF of Denominators means GCF of 278,792 as per the given fractions.
GCF of 278,792 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9570,3964
2 | 9570, 3964 |
4785, 1982 |
∴ So the LCM of the given numbers is 2 x 4785 x 1982 = 18967740
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 9570,3964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9570,3964) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9570,3964) x common factors =2 x 1 = 2
LCM(9570,3964) = ( 9570 × 3964 ) / 2
LCM(9570,3964) = 37935480 / 2
LCM(9570,3964) = 18967740
Lets's calculate GCF of 278,792
2 | 278, 792 |
139, 396 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18967740/2
Therefore the LCM of Fractions 9570/278,3964/792 is 9483870
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Factors of 792
List of positive integer factors of 792 that divides 792 without a remainder.
1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Greatest Common Factor
We found the factors 278,792 . The biggest common factor number is the GCF number.
So the greatest common factor 278,792 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 9570/278, 3964/792?
Answer: LCM of Numerators as per given numbers 9570/278, 3964/792 is
LCM of Numerators i.e. for 9570,3964 is 18967740
GCF of denominators i.e. for 278,792 is 2.
Thus, LCM of Fractions is 9483870.Finally, LCM of Fractions for 9570/278, 3964/792 is 9483870.