Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 925/56, 504/47, 725/385 quickly i.e. 13519800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 925/56, 504/47, 725/385 is 13519800.
LCM(925/56, 504/47, 725/385) = 13519800
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 925/56,504/47,725/385
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 925,504,725
Least Common Multiple of Numerators i.e. LCM of 925,504,725 is 13519800.
GCF of Denominators means GCF of 56,47,385 as per the given fractions.
GCF of 56,47,385 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 925,504,725
5 | 925, 504, 725 |
5 | 185, 504, 145 |
37, 504, 29 |
∴ So the LCM of the given numbers is 5 x 5 x 37 x 504 x 29 = 13519800
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 925,504,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(925,504,725) = 1
common factors(in case of two or more numbers have common factors) = 25
GCF(925,504,725) x common factors =1 x 25 = 25
LCM(925,504,725) = ( 925 × 504 × 725 ) / 25
LCM(925,504,725) = 337995000 / 25
LCM(925,504,725) = 13519800
Lets's calculate GCF of 56,47,385
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13519800/1
Therefore the LCM of Fractions 925/56,504/47,725/385 is 13519800
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 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
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 56,47,385 . The biggest common factor number is the GCF number.
So the greatest common factor 56,47,385 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 925/56, 504/47, 725/385?
Answer: LCM of Numerators as per given numbers 925/56, 504/47, 725/385 is
LCM of Numerators i.e. for 925,504,725 is 13519800
GCF of denominators i.e. for 56,47,385 is 1.
Thus, LCM of Fractions is 13519800.Finally, LCM of Fractions for 925/56, 504/47, 725/385 is 13519800.