Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 86/258, 30/142, 292/237 quickly i.e. 188340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 86/258, 30/142, 292/237 is 188340.
LCM(86/258, 30/142, 292/237) = 188340
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 86/258,30/142,292/237
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 86,30,292
Least Common Multiple of Numerators i.e. LCM of 86,30,292 is 188340.
GCF of Denominators means GCF of 258,142,237 as per the given fractions.
GCF of 258,142,237 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 86,30,292
2 | 86, 30, 292 |
43, 15, 146 |
∴ So the LCM of the given numbers is 2 x 43 x 15 x 146 = 188340
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 86,30,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(86,30,292) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(86,30,292) x common factors =2 x 2 = 4
LCM(86,30,292) = ( 86 × 30 × 292 ) / 4
LCM(86,30,292) = 753360 / 4
LCM(86,30,292) = 188340
Lets's calculate GCF of 258,142,237
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 188340/1
Therefore the LCM of Fractions 86/258,30/142,292/237 is 188340
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 142
List of positive integer factors of 142 that divides 142 without a remainder.
1,2,71,142
Factors of 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Greatest Common Factor
We found the factors 258,142,237 . The biggest common factor number is the GCF number.
So the greatest common factor 258,142,237 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 86/258, 30/142, 292/237?
Answer: LCM of Numerators as per given numbers 86/258, 30/142, 292/237 is
LCM of Numerators i.e. for 86,30,292 is 188340
GCF of denominators i.e. for 258,142,237 is 1.
Thus, LCM of Fractions is 188340.Finally, LCM of Fractions for 86/258, 30/142, 292/237 is 188340.