Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4333/921, 9093/4263 quickly i.e. 1876189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4333/921, 9093/4263 is 1876189.
LCM(4333/921, 9093/4263) = 1876189
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4333/921,9093/4263
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 4333,9093
Least Common Multiple of Numerators i.e. LCM of 4333,9093 is 5628567.
GCF of Denominators means GCF of 921,4263 as per the given fractions.
GCF of 921,4263 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4333,9093
7 | 4333, 9093 |
619, 1299 |
∴ So the LCM of the given numbers is 7 x 619 x 1299 = 5628567
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 4333,9093 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4333,9093) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(4333,9093) x common factors =7 x 1 = 7
LCM(4333,9093) = ( 4333 × 9093 ) / 7
LCM(4333,9093) = 39399969 / 7
LCM(4333,9093) = 5628567
Lets's calculate GCF of 921,4263
3 | 921, 4263 |
307, 1421 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5628567/3
Therefore the LCM of Fractions 4333/921,9093/4263 is 1876189
Factors of 921
List of positive integer factors of 921 that divides 921 without a remainder.
1,3,307,921
Factors of 4263
List of positive integer factors of 4263 that divides 4263 without a remainder.
1,3,7,21,29,49,87,147,203,609,1421,4263
Greatest Common Factor
We found the factors 921,4263 . The biggest common factor number is the GCF number.
So the greatest common factor 921,4263 is 3.
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 4333/921, 9093/4263?
Answer: LCM of Numerators as per given numbers 4333/921, 9093/4263 is
LCM of Numerators i.e. for 4333,9093 is 5628567
GCF of denominators i.e. for 921,4263 is 3.
Thus, LCM of Fractions is 1876189.Finally, LCM of Fractions for 4333/921, 9093/4263 is 1876189.