Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/35, 23/35, 82/385 quickly i.e. 84870/35 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/35, 23/35, 82/385 is 84870/35.
LCM(90/35, 23/35, 82/385) = 84870/35
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/35,23/35,82/385
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 90,23,82
Least Common Multiple of Numerators i.e. LCM of 90,23,82 is 84870.
GCF of Denominators means GCF of 35,35,385 as per the given fractions.
GCF of 35,35,385 is 35 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,23,82
2 | 90, 23, 82 |
45, 23, 41 |
∴ So the LCM of the given numbers is 2 x 45 x 23 x 41 = 84870
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 90,23,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,23,82) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(90,23,82) x common factors =1 x 2 = 2
LCM(90,23,82) = ( 90 × 23 × 82 ) / 2
LCM(90,23,82) = 169740 / 2
LCM(90,23,82) = 84870
Lets's calculate GCF of 35,35,385
5 | 35, 35, 385 |
7 | 7, 7, 77 |
1, 1, 11 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84870/35
Therefore the LCM of Fractions 90/35,23/35,82/385 is 84870/35
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Greatest Common Factor
We found the factors 35,35,385 . The biggest common factor number is the GCF number.
So the greatest common factor 35,35,385 is 35.
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 90/35, 23/35, 82/385?
Answer: LCM of Numerators as per given numbers 90/35, 23/35, 82/385 is
LCM of Numerators i.e. for 90,23,82 is 84870
GCF of denominators i.e. for 35,35,385 is 35.
Thus, LCM of Fractions is 84870/35.Finally, LCM of Fractions for 90/35, 23/35, 82/385 is 84870/35.