Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 220/101, 357/188, 711/450 quickly i.e. 18613980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 220/101, 357/188, 711/450 is 18613980.
LCM(220/101, 357/188, 711/450) = 18613980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 220/101,357/188,711/450
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 220,357,711
Least Common Multiple of Numerators i.e. LCM of 220,357,711 is 18613980.
GCF of Denominators means GCF of 101,188,450 as per the given fractions.
GCF of 101,188,450 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 220,357,711
3 | 220, 357, 711 |
220, 119, 237 |
∴ So the LCM of the given numbers is 3 x 220 x 119 x 237 = 18613980
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 220,357,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(220,357,711) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(220,357,711) x common factors =1 x 3 = 3
LCM(220,357,711) = ( 220 × 357 × 711 ) / 3
LCM(220,357,711) = 55841940 / 3
LCM(220,357,711) = 18613980
Lets's calculate GCF of 101,188,450
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18613980/1
Therefore the LCM of Fractions 220/101,357/188,711/450 is 18613980
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Factors of 188
List of positive integer factors of 188 that divides 188 without a remainder.
1,2,4,47,94,188
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Greatest Common Factor
We found the factors 101,188,450 . The biggest common factor number is the GCF number.
So the greatest common factor 101,188,450 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 220/101, 357/188, 711/450?
Answer: LCM of Numerators as per given numbers 220/101, 357/188, 711/450 is
LCM of Numerators i.e. for 220,357,711 is 18613980
GCF of denominators i.e. for 101,188,450 is 1.
Thus, LCM of Fractions is 18613980.Finally, LCM of Fractions for 220/101, 357/188, 711/450 is 18613980.