Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 948/905, 3351/300 quickly i.e. 1058916/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 948/905, 3351/300 is 1058916/5.
LCM(948/905, 3351/300) = 1058916/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 948/905,3351/300
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 948,3351
Least Common Multiple of Numerators i.e. LCM of 948,3351 is 1058916.
GCF of Denominators means GCF of 905,300 as per the given fractions.
GCF of 905,300 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 948,3351
3 | 948, 3351 |
316, 1117 |
∴ So the LCM of the given numbers is 3 x 316 x 1117 = 1058916
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 948,3351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(948,3351) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(948,3351) x common factors =3 x 1 = 3
LCM(948,3351) = ( 948 × 3351 ) / 3
LCM(948,3351) = 3176748 / 3
LCM(948,3351) = 1058916
Lets's calculate GCF of 905,300
5 | 905, 300 |
181, 60 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1058916/5
Therefore the LCM of Fractions 948/905,3351/300 is 1058916/5
Factors of 905
List of positive integer factors of 905 that divides 905 without a remainder.
1,5,181,905
Factors of 300
List of positive integer factors of 300 that divides 300 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300
Greatest Common Factor
We found the factors 905,300 . The biggest common factor number is the GCF number.
So the greatest common factor 905,300 is 5.
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 948/905, 3351/300?
Answer: LCM of Numerators as per given numbers 948/905, 3351/300 is
LCM of Numerators i.e. for 948,3351 is 1058916
GCF of denominators i.e. for 905,300 is 5.
Thus, LCM of Fractions is 1058916/5.Finally, LCM of Fractions for 948/905, 3351/300 is 1058916/5.