Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 900/964, 5250/406 quickly i.e. 15750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 900/964, 5250/406 is 15750.
LCM(900/964, 5250/406) = 15750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 900/964,5250/406
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 900,5250
Least Common Multiple of Numerators i.e. LCM of 900,5250 is 31500.
GCF of Denominators means GCF of 964,406 as per the given fractions.
GCF of 964,406 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 900,5250
2 | 900, 5250 |
3 | 450, 2625 |
5 | 150, 875 |
5 | 30, 175 |
6, 35 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 6 x 35 = 31500
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 900,5250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,5250) = 150
common factors(in case of two or more numbers have common factors) = 1
GCF(900,5250) x common factors =150 x 1 = 150
LCM(900,5250) = ( 900 × 5250 ) / 150
LCM(900,5250) = 4725000 / 150
LCM(900,5250) = 31500
Lets's calculate GCF of 964,406
2 | 964, 406 |
482, 203 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31500/2
Therefore the LCM of Fractions 900/964,5250/406 is 15750
Factors of 964
List of positive integer factors of 964 that divides 964 without a remainder.
1,2,4,241,482,964
Factors of 406
List of positive integer factors of 406 that divides 406 without a remainder.
1,2,7,14,29,58,203,406
Greatest Common Factor
We found the factors 964,406 . The biggest common factor number is the GCF number.
So the greatest common factor 964,406 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 900/964, 5250/406?
Answer: LCM of Numerators as per given numbers 900/964, 5250/406 is
LCM of Numerators i.e. for 900,5250 is 31500
GCF of denominators i.e. for 964,406 is 2.
Thus, LCM of Fractions is 15750.Finally, LCM of Fractions for 900/964, 5250/406 is 15750.