Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/512, 65/702, 19/385 quickly i.e. 3705 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/512, 65/702, 19/385 is 3705.
LCM(3/512, 65/702, 19/385) = 3705
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/512,65/702,19/385
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 3,65,19
Least Common Multiple of Numerators i.e. LCM of 3,65,19 is 3705.
GCF of Denominators means GCF of 512,702,385 as per the given fractions.
GCF of 512,702,385 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,65,19
Given numbers has no common factors except 1. So, there LCM is their product i.e 3705
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 3,65,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,65,19) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3,65,19) x common factors =1 x 1 = 1
LCM(3,65,19) = ( 3 × 65 × 19 ) / 1
LCM(3,65,19) = 3705 / 1
LCM(3,65,19) = 3705
Lets's calculate GCF of 512,702,385
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3705/1
Therefore the LCM of Fractions 3/512,65/702,19/385 is 3705
Factors of 512
List of positive integer factors of 512 that divides 512 without a remainder.
1,2,4,8,16,32,64,128,256,512
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
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 512,702,385 . The biggest common factor number is the GCF number.
So the greatest common factor 512,702,385 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 3/512, 65/702, 19/385?
Answer: LCM of Numerators as per given numbers 3/512, 65/702, 19/385 is
LCM of Numerators i.e. for 3,65,19 is 3705
GCF of denominators i.e. for 512,702,385 is 1.
Thus, LCM of Fractions is 3705.Finally, LCM of Fractions for 3/512, 65/702, 19/385 is 3705.