Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/220, 89/641, 94/282 quickly i.e. 41830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/220, 89/641, 94/282 is 41830.
LCM(5/220, 89/641, 94/282) = 41830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/220,89/641,94/282
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 5,89,94
Least Common Multiple of Numerators i.e. LCM of 5,89,94 is 41830.
GCF of Denominators means GCF of 220,641,282 as per the given fractions.
GCF of 220,641,282 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,89,94
Given numbers has no common factors except 1. So, there LCM is their product i.e 41830
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 5,89,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,89,94) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5,89,94) x common factors =1 x 1 = 1
LCM(5,89,94) = ( 5 × 89 × 94 ) / 1
LCM(5,89,94) = 41830 / 1
LCM(5,89,94) = 41830
Lets's calculate GCF of 220,641,282
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41830/1
Therefore the LCM of Fractions 5/220,89/641,94/282 is 41830
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 641
List of positive integer factors of 641 that divides 641 without a remainder.
1,641
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 220,641,282 . The biggest common factor number is the GCF number.
So the greatest common factor 220,641,282 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 5/220, 89/641, 94/282?
Answer: LCM of Numerators as per given numbers 5/220, 89/641, 94/282 is
LCM of Numerators i.e. for 5,89,94 is 41830
GCF of denominators i.e. for 220,641,282 is 1.
Thus, LCM of Fractions is 41830.Finally, LCM of Fractions for 5/220, 89/641, 94/282 is 41830.