Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 953/833, 144/928, 441/579 quickly i.e. 6724368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 953/833, 144/928, 441/579 is 6724368.
LCM(953/833, 144/928, 441/579) = 6724368
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 953/833,144/928,441/579
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 953,144,441
Least Common Multiple of Numerators i.e. LCM of 953,144,441 is 6724368.
GCF of Denominators means GCF of 833,928,579 as per the given fractions.
GCF of 833,928,579 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 953,144,441
3 | 953, 144, 441 |
3 | 953, 48, 147 |
953, 16, 49 |
∴ So the LCM of the given numbers is 3 x 3 x 953 x 16 x 49 = 6724368
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 953,144,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(953,144,441) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(953,144,441) x common factors =1 x 9 = 9
LCM(953,144,441) = ( 953 × 144 × 441 ) / 9
LCM(953,144,441) = 60519312 / 9
LCM(953,144,441) = 6724368
Lets's calculate GCF of 833,928,579
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6724368/1
Therefore the LCM of Fractions 953/833,144/928,441/579 is 6724368
Factors of 833
List of positive integer factors of 833 that divides 833 without a remainder.
1,7,17,49,119,833
Factors of 928
List of positive integer factors of 928 that divides 928 without a remainder.
1,2,4,8,16,29,32,58,116,232,464,928
Factors of 579
List of positive integer factors of 579 that divides 579 without a remainder.
1,3,193,579
Greatest Common Factor
We found the factors 833,928,579 . The biggest common factor number is the GCF number.
So the greatest common factor 833,928,579 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 953/833, 144/928, 441/579?
Answer: LCM of Numerators as per given numbers 953/833, 144/928, 441/579 is
LCM of Numerators i.e. for 953,144,441 is 6724368
GCF of denominators i.e. for 833,928,579 is 1.
Thus, LCM of Fractions is 6724368.Finally, LCM of Fractions for 953/833, 144/928, 441/579 is 6724368.