Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 563/94, 863/32, 798/562 quickly i.e. 193861731 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 563/94, 863/32, 798/562 is 193861731.
LCM(563/94, 863/32, 798/562) = 193861731
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 563/94,863/32,798/562
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 563,863,798
Least Common Multiple of Numerators i.e. LCM of 563,863,798 is 387723462.
GCF of Denominators means GCF of 94,32,562 as per the given fractions.
GCF of 94,32,562 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 563,863,798
Given numbers has no common factors except 1. So, there LCM is their product i.e 387723462
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 563,863,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,863,798) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,863,798) x common factors =1 x 1 = 1
LCM(563,863,798) = ( 563 × 863 × 798 ) / 1
LCM(563,863,798) = 387723462 / 1
LCM(563,863,798) = 387723462
Lets's calculate GCF of 94,32,562
2 | 94, 32, 562 |
47, 16, 281 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 387723462/2
Therefore the LCM of Fractions 563/94,863/32,798/562 is 193861731
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Greatest Common Factor
We found the factors 94,32,562 . The biggest common factor number is the GCF number.
So the greatest common factor 94,32,562 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 563/94, 863/32, 798/562?
Answer: LCM of Numerators as per given numbers 563/94, 863/32, 798/562 is
LCM of Numerators i.e. for 563,863,798 is 387723462
GCF of denominators i.e. for 94,32,562 is 2.
Thus, LCM of Fractions is 193861731.Finally, LCM of Fractions for 563/94, 863/32, 798/562 is 193861731.