Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/842, 40/257, 711/256 quickly i.e. 227520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/842, 40/257, 711/256 is 227520.
LCM(64/842, 40/257, 711/256) = 227520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/842,40/257,711/256
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 64,40,711
Least Common Multiple of Numerators i.e. LCM of 64,40,711 is 227520.
GCF of Denominators means GCF of 842,257,256 as per the given fractions.
GCF of 842,257,256 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,40,711
2 | 64, 40, 711 |
2 | 32, 20, 711 |
2 | 16, 10, 711 |
8, 5, 711 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 8 x 5 x 711 = 227520
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 64,40,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,40,711) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(64,40,711) x common factors =1 x 8 = 8
LCM(64,40,711) = ( 64 × 40 × 711 ) / 8
LCM(64,40,711) = 1820160 / 8
LCM(64,40,711) = 227520
Lets's calculate GCF of 842,257,256
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 227520/1
Therefore the LCM of Fractions 64/842,40/257,711/256 is 227520
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Factors of 257
List of positive integer factors of 257 that divides 257 without a remainder.
1,257
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Greatest Common Factor
We found the factors 842,257,256 . The biggest common factor number is the GCF number.
So the greatest common factor 842,257,256 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 64/842, 40/257, 711/256?
Answer: LCM of Numerators as per given numbers 64/842, 40/257, 711/256 is
LCM of Numerators i.e. for 64,40,711 is 227520
GCF of denominators i.e. for 842,257,256 is 1.
Thus, LCM of Fractions is 227520.Finally, LCM of Fractions for 64/842, 40/257, 711/256 is 227520.