Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 900/956, 4269/333 quickly i.e. 1280700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 900/956, 4269/333 is 1280700.
LCM(900/956, 4269/333) = 1280700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 900/956,4269/333
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 900,4269
Least Common Multiple of Numerators i.e. LCM of 900,4269 is 1280700.
GCF of Denominators means GCF of 956,333 as per the given fractions.
GCF of 956,333 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 900,4269
3 | 900, 4269 |
300, 1423 |
∴ So the LCM of the given numbers is 3 x 300 x 1423 = 1280700
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 900,4269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,4269) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(900,4269) x common factors =3 x 1 = 3
LCM(900,4269) = ( 900 × 4269 ) / 3
LCM(900,4269) = 3842100 / 3
LCM(900,4269) = 1280700
Lets's calculate GCF of 956,333
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1280700/1
Therefore the LCM of Fractions 900/956,4269/333 is 1280700
Factors of 956
List of positive integer factors of 956 that divides 956 without a remainder.
1,2,4,239,478,956
Factors of 333
List of positive integer factors of 333 that divides 333 without a remainder.
1,3,9,37,111,333
Greatest Common Factor
We found the factors 956,333 . The biggest common factor number is the GCF number.
So the greatest common factor 956,333 is 1.
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 900/956, 4269/333?
Answer: LCM of Numerators as per given numbers 900/956, 4269/333 is
LCM of Numerators i.e. for 900,4269 is 1280700
GCF of denominators i.e. for 956,333 is 1.
Thus, LCM of Fractions is 1280700.Finally, LCM of Fractions for 900/956, 4269/333 is 1280700.