Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 221/478, 370/207, 535/446 quickly i.e. 8749390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 221/478, 370/207, 535/446 is 8749390.
LCM(221/478, 370/207, 535/446) = 8749390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 221/478,370/207,535/446
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 221,370,535
Least Common Multiple of Numerators i.e. LCM of 221,370,535 is 8749390.
GCF of Denominators means GCF of 478,207,446 as per the given fractions.
GCF of 478,207,446 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 221,370,535
5 | 221, 370, 535 |
221, 74, 107 |
∴ So the LCM of the given numbers is 5 x 221 x 74 x 107 = 8749390
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 221,370,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(221,370,535) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(221,370,535) x common factors =1 x 5 = 5
LCM(221,370,535) = ( 221 × 370 × 535 ) / 5
LCM(221,370,535) = 43746950 / 5
LCM(221,370,535) = 8749390
Lets's calculate GCF of 478,207,446
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8749390/1
Therefore the LCM of Fractions 221/478,370/207,535/446 is 8749390
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Greatest Common Factor
We found the factors 478,207,446 . The biggest common factor number is the GCF number.
So the greatest common factor 478,207,446 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 221/478, 370/207, 535/446?
Answer: LCM of Numerators as per given numbers 221/478, 370/207, 535/446 is
LCM of Numerators i.e. for 221,370,535 is 8749390
GCF of denominators i.e. for 478,207,446 is 1.
Thus, LCM of Fractions is 8749390.Finally, LCM of Fractions for 221/478, 370/207, 535/446 is 8749390.