Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/75, 725/59, 770/250 quickly i.e. 5247550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/75, 725/59, 770/250 is 5247550.
LCM(47/75, 725/59, 770/250) = 5247550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/75,725/59,770/250
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 47,725,770
Least Common Multiple of Numerators i.e. LCM of 47,725,770 is 5247550.
GCF of Denominators means GCF of 75,59,250 as per the given fractions.
GCF of 75,59,250 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,725,770
5 | 47, 725, 770 |
47, 145, 154 |
∴ So the LCM of the given numbers is 5 x 47 x 145 x 154 = 5247550
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 47,725,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,725,770) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(47,725,770) x common factors =1 x 5 = 5
LCM(47,725,770) = ( 47 × 725 × 770 ) / 5
LCM(47,725,770) = 26237750 / 5
LCM(47,725,770) = 5247550
Lets's calculate GCF of 75,59,250
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5247550/1
Therefore the LCM of Fractions 47/75,725/59,770/250 is 5247550
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 250
List of positive integer factors of 250 that divides 250 without a remainder.
1,2,5,10,25,50,125,250
Greatest Common Factor
We found the factors 75,59,250 . The biggest common factor number is the GCF number.
So the greatest common factor 75,59,250 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 47/75, 725/59, 770/250?
Answer: LCM of Numerators as per given numbers 47/75, 725/59, 770/250 is
LCM of Numerators i.e. for 47,725,770 is 5247550
GCF of denominators i.e. for 75,59,250 is 1.
Thus, LCM of Fractions is 5247550.Finally, LCM of Fractions for 47/75, 725/59, 770/250 is 5247550.