Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/28, 25/56, 383/772 quickly i.e. 488325/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/28, 25/56, 383/772 is 488325/4.
LCM(51/28, 25/56, 383/772) = 488325/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/28,25/56,383/772
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 51,25,383
Least Common Multiple of Numerators i.e. LCM of 51,25,383 is 488325.
GCF of Denominators means GCF of 28,56,772 as per the given fractions.
GCF of 28,56,772 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,25,383
Given numbers has no common factors except 1. So, there LCM is their product i.e 488325
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 51,25,383 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,25,383) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,25,383) x common factors =1 x 1 = 1
LCM(51,25,383) = ( 51 × 25 × 383 ) / 1
LCM(51,25,383) = 488325 / 1
LCM(51,25,383) = 488325
Lets's calculate GCF of 28,56,772
2 | 28, 56, 772 |
2 | 14, 28, 386 |
7, 14, 193 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 488325/4
Therefore the LCM of Fractions 51/28,25/56,383/772 is 488325/4
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 56
List of positive integer factors of 56 that divides 56 without a remainder.
1,2,4,7,8,14,28,56
Factors of 772
List of positive integer factors of 772 that divides 772 without a remainder.
1,2,4,193,386,772
Greatest Common Factor
We found the factors 28,56,772 . The biggest common factor number is the GCF number.
So the greatest common factor 28,56,772 is 4.
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 51/28, 25/56, 383/772?
Answer: LCM of Numerators as per given numbers 51/28, 25/56, 383/772 is
LCM of Numerators i.e. for 51,25,383 is 488325
GCF of denominators i.e. for 28,56,772 is 4.
Thus, LCM of Fractions is 488325/4.Finally, LCM of Fractions for 51/28, 25/56, 383/772 is 488325/4.