Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 549/954, 4229/375 quickly i.e. 773907 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 549/954, 4229/375 is 773907.
LCM(549/954, 4229/375) = 773907
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 549/954,4229/375
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 549,4229
Least Common Multiple of Numerators i.e. LCM of 549,4229 is 2321721.
GCF of Denominators means GCF of 954,375 as per the given fractions.
GCF of 954,375 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 549,4229
Given numbers has no common factors except 1. So, there LCM is their product i.e 2321721
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 549,4229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,4229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(549,4229) x common factors =1 x 1 = 1
LCM(549,4229) = ( 549 × 4229 ) / 1
LCM(549,4229) = 2321721 / 1
LCM(549,4229) = 2321721
Lets's calculate GCF of 954,375
3 | 954, 375 |
318, 125 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2321721/3
Therefore the LCM of Fractions 549/954,4229/375 is 773907
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Greatest Common Factor
We found the factors 954,375 . The biggest common factor number is the GCF number.
So the greatest common factor 954,375 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 549/954, 4229/375?
Answer: LCM of Numerators as per given numbers 549/954, 4229/375 is
LCM of Numerators i.e. for 549,4229 is 2321721
GCF of denominators i.e. for 954,375 is 3.
Thus, LCM of Fractions is 773907.Finally, LCM of Fractions for 549/954, 4229/375 is 773907.