Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 735/38, 900/40, 550/811 quickly i.e. 485100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 735/38, 900/40, 550/811 is 485100.
LCM(735/38, 900/40, 550/811) = 485100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 735/38,900/40,550/811
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 735,900,550
Least Common Multiple of Numerators i.e. LCM of 735,900,550 is 485100.
GCF of Denominators means GCF of 38,40,811 as per the given fractions.
GCF of 38,40,811 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 735,900,550
2 | 735, 900, 550 |
3 | 735, 450, 275 |
5 | 245, 150, 275 |
5 | 49, 30, 55 |
49, 6, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 49 x 6 x 11 = 485100
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 735,900,550 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,900,550) = 5
common factors(in case of two or more numbers have common factors) = 150
GCF(735,900,550) x common factors =5 x 150 = 750
LCM(735,900,550) = ( 735 × 900 × 550 ) / 750
LCM(735,900,550) = 363825000 / 750
LCM(735,900,550) = 485100
Lets's calculate GCF of 38,40,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 485100/1
Therefore the LCM of Fractions 735/38,900/40,550/811 is 485100
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 811
List of positive integer factors of 811 that divides 811 without a remainder.
1,811
Greatest Common Factor
We found the factors 38,40,811 . The biggest common factor number is the GCF number.
So the greatest common factor 38,40,811 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 735/38, 900/40, 550/811?
Answer: LCM of Numerators as per given numbers 735/38, 900/40, 550/811 is
LCM of Numerators i.e. for 735,900,550 is 485100
GCF of denominators i.e. for 38,40,811 is 1.
Thus, LCM of Fractions is 485100.Finally, LCM of Fractions for 735/38, 900/40, 550/811 is 485100.