Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/225, 603/74, 315/125 quickly i.e. 1857240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/225, 603/74, 315/125 is 1857240.
LCM(88/225, 603/74, 315/125) = 1857240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/225,603/74,315/125
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 88,603,315
Least Common Multiple of Numerators i.e. LCM of 88,603,315 is 1857240.
GCF of Denominators means GCF of 225,74,125 as per the given fractions.
GCF of 225,74,125 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,603,315
3 | 88, 603, 315 |
3 | 88, 201, 105 |
88, 67, 35 |
∴ So the LCM of the given numbers is 3 x 3 x 88 x 67 x 35 = 1857240
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 88,603,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,603,315) = 1
common factors(in case of two or more numbers have common factors) = 9
GCF(88,603,315) x common factors =1 x 9 = 9
LCM(88,603,315) = ( 88 × 603 × 315 ) / 9
LCM(88,603,315) = 16715160 / 9
LCM(88,603,315) = 1857240
Lets's calculate GCF of 225,74,125
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1857240/1
Therefore the LCM of Fractions 88/225,603/74,315/125 is 1857240
Factors of 225
List of positive integer factors of 225 that divides 225 without a remainder.
1,3,5,9,15,25,45,75,225
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Greatest Common Factor
We found the factors 225,74,125 . The biggest common factor number is the GCF number.
So the greatest common factor 225,74,125 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 88/225, 603/74, 315/125?
Answer: LCM of Numerators as per given numbers 88/225, 603/74, 315/125 is
LCM of Numerators i.e. for 88,603,315 is 1857240
GCF of denominators i.e. for 225,74,125 is 1.
Thus, LCM of Fractions is 1857240.Finally, LCM of Fractions for 88/225, 603/74, 315/125 is 1857240.