Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 534/423, 942/202, 882/204 quickly i.e. 12324186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 534/423, 942/202, 882/204 is 12324186.
LCM(534/423, 942/202, 882/204) = 12324186
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 534/423,942/202,882/204
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 534,942,882
Least Common Multiple of Numerators i.e. LCM of 534,942,882 is 12324186.
GCF of Denominators means GCF of 423,202,204 as per the given fractions.
GCF of 423,202,204 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 534,942,882
2 | 534, 942, 882 |
3 | 267, 471, 441 |
89, 157, 147 |
∴ So the LCM of the given numbers is 2 x 3 x 89 x 157 x 147 = 12324186
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 534,942,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,942,882) = 6
common factors(in case of two or more numbers have common factors) = 6
GCF(534,942,882) x common factors =6 x 6 = 36
LCM(534,942,882) = ( 534 × 942 × 882 ) / 36
LCM(534,942,882) = 443670696 / 36
LCM(534,942,882) = 12324186
Lets's calculate GCF of 423,202,204
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12324186/1
Therefore the LCM of Fractions 534/423,942/202,882/204 is 12324186
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 423,202,204 . The biggest common factor number is the GCF number.
So the greatest common factor 423,202,204 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 534/423, 942/202, 882/204?
Answer: LCM of Numerators as per given numbers 534/423, 942/202, 882/204 is
LCM of Numerators i.e. for 534,942,882 is 12324186
GCF of denominators i.e. for 423,202,204 is 1.
Thus, LCM of Fractions is 12324186.Finally, LCM of Fractions for 534/423, 942/202, 882/204 is 12324186.