Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 65/701, 64/492, 135/514 quickly i.e. 112320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 65/701, 64/492, 135/514 is 112320.
LCM(65/701, 64/492, 135/514) = 112320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 65/701,64/492,135/514
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 65,64,135
Least Common Multiple of Numerators i.e. LCM of 65,64,135 is 112320.
GCF of Denominators means GCF of 701,492,514 as per the given fractions.
GCF of 701,492,514 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 65,64,135
5 | 65, 64, 135 |
13, 64, 27 |
∴ So the LCM of the given numbers is 5 x 13 x 64 x 27 = 112320
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 65,64,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,64,135) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(65,64,135) x common factors =1 x 5 = 5
LCM(65,64,135) = ( 65 × 64 × 135 ) / 5
LCM(65,64,135) = 561600 / 5
LCM(65,64,135) = 112320
Lets's calculate GCF of 701,492,514
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112320/1
Therefore the LCM of Fractions 65/701,64/492,135/514 is 112320
Factors of 701
List of positive integer factors of 701 that divides 701 without a remainder.
1,701
Factors of 492
List of positive integer factors of 492 that divides 492 without a remainder.
1,2,3,4,6,12,41,82,123,164,246,492
Factors of 514
List of positive integer factors of 514 that divides 514 without a remainder.
1,2,257,514
Greatest Common Factor
We found the factors 701,492,514 . The biggest common factor number is the GCF number.
So the greatest common factor 701,492,514 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 65/701, 64/492, 135/514?
Answer: LCM of Numerators as per given numbers 65/701, 64/492, 135/514 is
LCM of Numerators i.e. for 65,64,135 is 112320
GCF of denominators i.e. for 701,492,514 is 1.
Thus, LCM of Fractions is 112320.Finally, LCM of Fractions for 65/701, 64/492, 135/514 is 112320.