Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/852, 88/227, 90/146 quickly i.e. 27720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/852, 88/227, 90/146 is 27720.
LCM(7/852, 88/227, 90/146) = 27720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/852,88/227,90/146
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 7,88,90
Least Common Multiple of Numerators i.e. LCM of 7,88,90 is 27720.
GCF of Denominators means GCF of 852,227,146 as per the given fractions.
GCF of 852,227,146 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,88,90
2 | 7, 88, 90 |
7, 44, 45 |
∴ So the LCM of the given numbers is 2 x 7 x 44 x 45 = 27720
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 7,88,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,88,90) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(7,88,90) x common factors =1 x 2 = 2
LCM(7,88,90) = ( 7 × 88 × 90 ) / 2
LCM(7,88,90) = 55440 / 2
LCM(7,88,90) = 27720
Lets's calculate GCF of 852,227,146
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27720/1
Therefore the LCM of Fractions 7/852,88/227,90/146 is 27720
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Factors of 227
List of positive integer factors of 227 that divides 227 without a remainder.
1,227
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Greatest Common Factor
We found the factors 852,227,146 . The biggest common factor number is the GCF number.
So the greatest common factor 852,227,146 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 7/852, 88/227, 90/146?
Answer: LCM of Numerators as per given numbers 7/852, 88/227, 90/146 is
LCM of Numerators i.e. for 7,88,90 is 27720
GCF of denominators i.e. for 852,227,146 is 1.
Thus, LCM of Fractions is 27720.Finally, LCM of Fractions for 7/852, 88/227, 90/146 is 27720.