Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 25/312, 47/642, 774/256 quickly i.e. 454725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 25/312, 47/642, 774/256 is 454725.
LCM(25/312, 47/642, 774/256) = 454725
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 25/312,47/642,774/256
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 25,47,774
Least Common Multiple of Numerators i.e. LCM of 25,47,774 is 909450.
GCF of Denominators means GCF of 312,642,256 as per the given fractions.
GCF of 312,642,256 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 25,47,774
Given numbers has no common factors except 1. So, there LCM is their product i.e 909450
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 25,47,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,47,774) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,47,774) x common factors =1 x 1 = 1
LCM(25,47,774) = ( 25 × 47 × 774 ) / 1
LCM(25,47,774) = 909450 / 1
LCM(25,47,774) = 909450
Lets's calculate GCF of 312,642,256
2 | 312, 642, 256 |
156, 321, 128 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 909450/2
Therefore the LCM of Fractions 25/312,47/642,774/256 is 454725
Factors of 312
List of positive integer factors of 312 that divides 312 without a remainder.
1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
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 312,642,256 . The biggest common factor number is the GCF number.
So the greatest common factor 312,642,256 is 2.
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 25/312, 47/642, 774/256?
Answer: LCM of Numerators as per given numbers 25/312, 47/642, 774/256 is
LCM of Numerators i.e. for 25,47,774 is 909450
GCF of denominators i.e. for 312,642,256 is 2.
Thus, LCM of Fractions is 454725.Finally, LCM of Fractions for 25/312, 47/642, 774/256 is 454725.