Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 375/27, 375/56, 602/955 quickly i.e. 225750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 375/27, 375/56, 602/955 is 225750.
LCM(375/27, 375/56, 602/955) = 225750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 375/27,375/56,602/955
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 375,375,602
Least Common Multiple of Numerators i.e. LCM of 375,375,602 is 225750.
GCF of Denominators means GCF of 27,56,955 as per the given fractions.
GCF of 27,56,955 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 375,375,602
3 | 375, 375, 602 |
5 | 125, 125, 602 |
5 | 25, 25, 602 |
5 | 5, 5, 602 |
1, 1, 602 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 5 x 1 x 1 x 602 = 225750
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 375,375,602 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,375,602) = 1
common factors(in case of two or more numbers have common factors) = 375
GCF(375,375,602) x common factors =1 x 375 = 375
LCM(375,375,602) = ( 375 × 375 × 602 ) / 375
LCM(375,375,602) = 84656250 / 375
LCM(375,375,602) = 225750
Lets's calculate GCF of 27,56,955
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 225750/1
Therefore the LCM of Fractions 375/27,375/56,602/955 is 225750
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
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 955
List of positive integer factors of 955 that divides 955 without a remainder.
1,5,191,955
Greatest Common Factor
We found the factors 27,56,955 . The biggest common factor number is the GCF number.
So the greatest common factor 27,56,955 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 375/27, 375/56, 602/955?
Answer: LCM of Numerators as per given numbers 375/27, 375/56, 602/955 is
LCM of Numerators i.e. for 375,375,602 is 225750
GCF of denominators i.e. for 27,56,955 is 1.
Thus, LCM of Fractions is 225750.Finally, LCM of Fractions for 375/27, 375/56, 602/955 is 225750.