Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6054/801, 5322/578 quickly i.e. 5369898 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6054/801, 5322/578 is 5369898.
LCM(6054/801, 5322/578) = 5369898
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6054/801,5322/578
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 6054,5322
Least Common Multiple of Numerators i.e. LCM of 6054,5322 is 5369898.
GCF of Denominators means GCF of 801,578 as per the given fractions.
GCF of 801,578 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6054,5322
2 | 6054, 5322 |
3 | 3027, 2661 |
1009, 887 |
∴ So the LCM of the given numbers is 2 x 3 x 1009 x 887 = 5369898
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 6054,5322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6054,5322) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(6054,5322) x common factors =6 x 1 = 6
LCM(6054,5322) = ( 6054 × 5322 ) / 6
LCM(6054,5322) = 32219388 / 6
LCM(6054,5322) = 5369898
Lets's calculate GCF of 801,578
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5369898/1
Therefore the LCM of Fractions 6054/801,5322/578 is 5369898
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Factors of 578
List of positive integer factors of 578 that divides 578 without a remainder.
1,2,17,34,289,578
Greatest Common Factor
We found the factors 801,578 . The biggest common factor number is the GCF number.
So the greatest common factor 801,578 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 6054/801, 5322/578?
Answer: LCM of Numerators as per given numbers 6054/801, 5322/578 is
LCM of Numerators i.e. for 6054,5322 is 5369898
GCF of denominators i.e. for 801,578 is 1.
Thus, LCM of Fractions is 5369898.Finally, LCM of Fractions for 6054/801, 5322/578 is 5369898.