Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 44/482, 689/881, 638/895 quickly i.e. 879164 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 44/482, 689/881, 638/895 is 879164.
LCM(44/482, 689/881, 638/895) = 879164
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 44/482,689/881,638/895
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 44,689,638
Least Common Multiple of Numerators i.e. LCM of 44,689,638 is 879164.
GCF of Denominators means GCF of 482,881,895 as per the given fractions.
GCF of 482,881,895 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 44,689,638
2 | 44, 689, 638 |
11 | 22, 689, 319 |
2, 689, 29 |
∴ So the LCM of the given numbers is 2 x 11 x 2 x 689 x 29 = 879164
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 44,689,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,689,638) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(44,689,638) x common factors =1 x 22 = 22
LCM(44,689,638) = ( 44 × 689 × 638 ) / 22
LCM(44,689,638) = 19341608 / 22
LCM(44,689,638) = 879164
Lets's calculate GCF of 482,881,895
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 879164/1
Therefore the LCM of Fractions 44/482,689/881,638/895 is 879164
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 895
List of positive integer factors of 895 that divides 895 without a remainder.
1,5,179,895
Greatest Common Factor
We found the factors 482,881,895 . The biggest common factor number is the GCF number.
So the greatest common factor 482,881,895 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 44/482, 689/881, 638/895?
Answer: LCM of Numerators as per given numbers 44/482, 689/881, 638/895 is
LCM of Numerators i.e. for 44,689,638 is 879164
GCF of denominators i.e. for 482,881,895 is 1.
Thus, LCM of Fractions is 879164.Finally, LCM of Fractions for 44/482, 689/881, 638/895 is 879164.