Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 150/82, 825/95, 402/253 quickly i.e. 110550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 150/82, 825/95, 402/253 is 110550.
LCM(150/82, 825/95, 402/253) = 110550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 150/82,825/95,402/253
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 150,825,402
Least Common Multiple of Numerators i.e. LCM of 150,825,402 is 110550.
GCF of Denominators means GCF of 82,95,253 as per the given fractions.
GCF of 82,95,253 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 150,825,402
2 | 150, 825, 402 |
3 | 75, 825, 201 |
5 | 25, 275, 67 |
5 | 5, 55, 67 |
1, 11, 67 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 1 x 11 x 67 = 110550
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 150,825,402 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(150,825,402) = 3
common factors(in case of two or more numbers have common factors) = 150
GCF(150,825,402) x common factors =3 x 150 = 450
LCM(150,825,402) = ( 150 × 825 × 402 ) / 450
LCM(150,825,402) = 49747500 / 450
LCM(150,825,402) = 110550
Lets's calculate GCF of 82,95,253
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110550/1
Therefore the LCM of Fractions 150/82,825/95,402/253 is 110550
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Greatest Common Factor
We found the factors 82,95,253 . The biggest common factor number is the GCF number.
So the greatest common factor 82,95,253 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 150/82, 825/95, 402/253?
Answer: LCM of Numerators as per given numbers 150/82, 825/95, 402/253 is
LCM of Numerators i.e. for 150,825,402 is 110550
GCF of denominators i.e. for 82,95,253 is 1.
Thus, LCM of Fractions is 110550.Finally, LCM of Fractions for 150/82, 825/95, 402/253 is 110550.