LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 161, 323, 323, 190

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 161, 323, 323, 190 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 161, 323, 323, 190. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 161,323,323,190

Given numbers are 161,323,323,190

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 161,323,323,190 is 520030.

Find LCM of 161,323,323,190 with Prime Factorization


17 161, 323, 323, 190
19 161, 19, 19, 190
161, 1, 1, 10

Multiply the prime numbers at the bottom and the left side.

17 x 19 x 161 x 1 x 1 x 10 = 520030

Therefore, the lowest common multiple of 161,323,323,190 is 520030.

LCM Formula to Find Lowest Common Multiple of 161,323,323,190

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

161 x 323 x 323 x 190 = 3191424110

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

161 : 1, 7, 23, 161

323 : 1, 17, 19, 323

323 : 1, 17, 19, 323

190 : 1, 2, 5, 10, 19, 38, 95, 190

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,323,323,190, is 1.

Now, the common factors can be found like this.

161:7x 23

323:17x 19

323:17x 19

190:2x 5x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

17x 19x 19 = 6137

Therefore, the value for common factors is 6137.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 3191424110/(1x6137)

LCM = 3191424110/6137

LCM = 520030

Thus, we can understand that the LCM of 161,323,323,190 is 520030.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 161, 323, 323, 190

1. What is the LCM of 161, 323, 323, 190?

Answer: LCM of 161, 323, 323, 190 is 520030.

2. How to calculate the LCM of 161, 323, 323, 190?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 161, 323, 323, 190.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.