Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 500/607, 203/221, 745/855 quickly i.e. 15123500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 500/607, 203/221, 745/855 is 15123500.
LCM(500/607, 203/221, 745/855) = 15123500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 500/607,203/221,745/855
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 500,203,745
Least Common Multiple of Numerators i.e. LCM of 500,203,745 is 15123500.
GCF of Denominators means GCF of 607,221,855 as per the given fractions.
GCF of 607,221,855 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 500,203,745
5 | 500, 203, 745 |
100, 203, 149 |
∴ So the LCM of the given numbers is 5 x 100 x 203 x 149 = 15123500
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 500,203,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(500,203,745) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(500,203,745) x common factors =1 x 5 = 5
LCM(500,203,745) = ( 500 × 203 × 745 ) / 5
LCM(500,203,745) = 75617500 / 5
LCM(500,203,745) = 15123500
Lets's calculate GCF of 607,221,855
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15123500/1
Therefore the LCM of Fractions 500/607,203/221,745/855 is 15123500
Factors of 607
List of positive integer factors of 607 that divides 607 without a remainder.
1,607
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Greatest Common Factor
We found the factors 607,221,855 . The biggest common factor number is the GCF number.
So the greatest common factor 607,221,855 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 500/607, 203/221, 745/855?
Answer: LCM of Numerators as per given numbers 500/607, 203/221, 745/855 is
LCM of Numerators i.e. for 500,203,745 is 15123500
GCF of denominators i.e. for 607,221,855 is 1.
Thus, LCM of Fractions is 15123500.Finally, LCM of Fractions for 500/607, 203/221, 745/855 is 15123500.