Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 689/44, 588/90, 953/94 quickly i.e. 193045398 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 689/44, 588/90, 953/94 is 193045398.
LCM(689/44, 588/90, 953/94) = 193045398
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 689/44,588/90,953/94
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 689,588,953
Least Common Multiple of Numerators i.e. LCM of 689,588,953 is 386090796.
GCF of Denominators means GCF of 44,90,94 as per the given fractions.
GCF of 44,90,94 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 689,588,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 386090796
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 689,588,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,588,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,588,953) x common factors =1 x 1 = 1
LCM(689,588,953) = ( 689 × 588 × 953 ) / 1
LCM(689,588,953) = 386090796 / 1
LCM(689,588,953) = 386090796
Lets's calculate GCF of 44,90,94
2 | 44, 90, 94 |
22, 45, 47 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 386090796/2
Therefore the LCM of Fractions 689/44,588/90,953/94 is 193045398
Factors of 44
List of positive integer factors of 44 that divides 44 without a remainder.
1,2,4,11,22,44
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Greatest Common Factor
We found the factors 44,90,94 . The biggest common factor number is the GCF number.
So the greatest common factor 44,90,94 is 2.
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 689/44, 588/90, 953/94?
Answer: LCM of Numerators as per given numbers 689/44, 588/90, 953/94 is
LCM of Numerators i.e. for 689,588,953 is 386090796
GCF of denominators i.e. for 44,90,94 is 2.
Thus, LCM of Fractions is 193045398.Finally, LCM of Fractions for 689/44, 588/90, 953/94 is 193045398.