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LCM of 161, 585, 241, 398, 566

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


Find the LCM of 161, 585, 241, 398, 566 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, 585, 241, 398, 566. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 161,585,241,398,566

Given numbers are 161,585,241,398,566

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

The LCM of 161,585,241,398,566 is 2556632422890.

Find LCM of 161,585,241,398,566 with Prime Factorization


2 161, 585, 241, 398, 566
161, 585, 241, 199, 283

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

2 x 161 x 585 x 241 x 199 x 283 = 2556632422890

Therefore, the lowest common multiple of 161,585,241,398,566 is 2556632422890.

LCM Formula to Find Lowest Common Multiple of 161,585,241,398,566

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 585 x 241 x 398 x 566 = 5113264845780

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

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

241 : 1, 241

398 : 1, 2, 199, 398

566 : 1, 2, 283, 566

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,585,241,398,566, is 1.

Now, the common factors can be found like this.

161:7x 23

585:3x 3x 5x 13

241:241

398:2x 199

566:2x 283

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

2 = 2

Therefore, the value for common factors is 2.

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 = 5113264845780/(1x2)

LCM = 5113264845780/2

LCM = 2556632422890

Thus, we can understand that the LCM of 161,585,241,398,566 is 2556632422890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 161, 585, 241, 398, 566

1. What is the LCM of 161, 585, 241, 398, 566?

Answer: LCM of 161, 585, 241, 398, 566 is 2556632422890.

2. How to calculate the LCM of 161, 585, 241, 398, 566?

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, 585, 241, 398, 566.

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}.