Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 270/764, 855/335 quickly i.e. 5130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 270/764, 855/335 is 5130.
LCM(270/764, 855/335) = 5130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 270/764,855/335
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 270,855
Least Common Multiple of Numerators i.e. LCM of 270,855 is 5130.
GCF of Denominators means GCF of 764,335 as per the given fractions.
GCF of 764,335 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 270,855
3 | 270, 855 |
3 | 90, 285 |
5 | 30, 95 |
6, 19 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 6 x 19 = 5130
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 270,855 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,855) = 45
common factors(in case of two or more numbers have common factors) = 1
GCF(270,855) x common factors =45 x 1 = 45
LCM(270,855) = ( 270 × 855 ) / 45
LCM(270,855) = 230850 / 45
LCM(270,855) = 5130
Lets's calculate GCF of 764,335
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5130/1
Therefore the LCM of Fractions 270/764,855/335 is 5130
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
Greatest Common Factor
We found the factors 764,335 . The biggest common factor number is the GCF number.
So the greatest common factor 764,335 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 270/764, 855/335?
Answer: LCM of Numerators as per given numbers 270/764, 855/335 is
LCM of Numerators i.e. for 270,855 is 5130
GCF of denominators i.e. for 764,335 is 1.
Thus, LCM of Fractions is 5130.Finally, LCM of Fractions for 270/764, 855/335 is 5130.