Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7952/903, 7894/784 quickly i.e. 4483792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7952/903, 7894/784 is 4483792.
LCM(7952/903, 7894/784) = 4483792
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7952/903,7894/784
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 7952,7894
Least Common Multiple of Numerators i.e. LCM of 7952,7894 is 31386544.
GCF of Denominators means GCF of 903,784 as per the given fractions.
GCF of 903,784 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7952,7894
2 | 7952, 7894 |
3976, 3947 |
∴ So the LCM of the given numbers is 2 x 3976 x 3947 = 31386544
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 7952,7894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7952,7894) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7952,7894) x common factors =2 x 1 = 2
LCM(7952,7894) = ( 7952 × 7894 ) / 2
LCM(7952,7894) = 62773088 / 2
LCM(7952,7894) = 31386544
Lets's calculate GCF of 903,784
7 | 903, 784 |
129, 112 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31386544/7
Therefore the LCM of Fractions 7952/903,7894/784 is 4483792
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Factors of 784
List of positive integer factors of 784 that divides 784 without a remainder.
1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Greatest Common Factor
We found the factors 903,784 . The biggest common factor number is the GCF number.
So the greatest common factor 903,784 is 7.
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 7952/903, 7894/784?
Answer: LCM of Numerators as per given numbers 7952/903, 7894/784 is
LCM of Numerators i.e. for 7952,7894 is 31386544
GCF of denominators i.e. for 903,784 is 7.
Thus, LCM of Fractions is 4483792.Finally, LCM of Fractions for 7952/903, 7894/784 is 4483792.