Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/586, 95/270, 886/402 quickly i.e. 4082245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/586, 95/270, 886/402 is 4082245.
LCM(97/586, 95/270, 886/402) = 4082245
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/586,95/270,886/402
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 97,95,886
Least Common Multiple of Numerators i.e. LCM of 97,95,886 is 8164490.
GCF of Denominators means GCF of 586,270,402 as per the given fractions.
GCF of 586,270,402 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,95,886
Given numbers has no common factors except 1. So, there LCM is their product i.e 8164490
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 97,95,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,95,886) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,95,886) x common factors =1 x 1 = 1
LCM(97,95,886) = ( 97 × 95 × 886 ) / 1
LCM(97,95,886) = 8164490 / 1
LCM(97,95,886) = 8164490
Lets's calculate GCF of 586,270,402
2 | 586, 270, 402 |
293, 135, 201 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8164490/2
Therefore the LCM of Fractions 97/586,95/270,886/402 is 4082245
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Greatest Common Factor
We found the factors 586,270,402 . The biggest common factor number is the GCF number.
So the greatest common factor 586,270,402 is 2.
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 97/586, 95/270, 886/402?
Answer: LCM of Numerators as per given numbers 97/586, 95/270, 886/402 is
LCM of Numerators i.e. for 97,95,886 is 8164490
GCF of denominators i.e. for 586,270,402 is 2.
Thus, LCM of Fractions is 4082245.Finally, LCM of Fractions for 97/586, 95/270, 886/402 is 4082245.