Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 284/65, 100/265 quickly i.e. 1420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 284/65, 100/265 is 1420.
LCM(284/65, 100/265) = 1420
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 284/65,100/265
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 284,100
Least Common Multiple of Numerators i.e. LCM of 284,100 is 7100.
GCF of Denominators means GCF of 65,265 as per the given fractions.
GCF of 65,265 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 284,100
2 | 284, 100 |
2 | 142, 50 |
71, 25 |
∴ So the LCM of the given numbers is 2 x 2 x 71 x 25 = 7100
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 284,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,100) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(284,100) x common factors =4 x 1 = 4
LCM(284,100) = ( 284 × 100 ) / 4
LCM(284,100) = 28400 / 4
LCM(284,100) = 7100
Lets's calculate GCF of 65,265
5 | 65, 265 |
13, 53 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7100/5
Therefore the LCM of Fractions 284/65,100/265 is 1420
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Greatest Common Factor
We found the factors 65,265 . The biggest common factor number is the GCF number.
So the greatest common factor 65,265 is 5.
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 284/65, 100/265?
Answer: LCM of Numerators as per given numbers 284/65, 100/265 is
LCM of Numerators i.e. for 284,100 is 7100
GCF of denominators i.e. for 65,265 is 5.
Thus, LCM of Fractions is 1420.Finally, LCM of Fractions for 284/65, 100/265 is 1420.