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LCM of 161, 575, 470, 364

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


Find the LCM of 161, 575, 470, 364 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, 575, 470, 364. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 161,575,470,364

Given numbers are 161,575,470,364

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

The LCM of 161,575,470,364 is 9837100.

Find LCM of 161,575,470,364 with Prime Factorization


2 161, 575, 470, 364
5 161, 575, 235, 182
7 161, 115, 47, 182
23 23, 115, 47, 26
1, 5, 47, 26

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

2 x 5 x 7 x 23 x 1 x 5 x 47 x 26 = 9837100

Therefore, the lowest common multiple of 161,575,470,364 is 9837100.

LCM Formula to Find Lowest Common Multiple of 161,575,470,364

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 575 x 470 x 364 = 15837731000

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

575 : 1, 5, 23, 25, 115, 575

470 : 1, 2, 5, 10, 47, 94, 235, 470

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,575,470,364, is 1.

Now, the common factors can be found like this.

161:7x 23

575:5x 5x 23

470:2x 5x 47

364:2x 2x 7x 13

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

2x 5x 7x 23 = 1610

Therefore, the value for common factors is 1610.

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 = 15837731000/(1x1610)

LCM = 15837731000/1610

LCM = 9837100

Thus, we can understand that the LCM of 161,575,470,364 is 9837100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 161, 575, 470, 364

1. What is the LCM of 161, 575, 470, 364?

Answer: LCM of 161, 575, 470, 364 is 9837100.

2. How to calculate the LCM of 161, 575, 470, 364?

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, 575, 470, 364.

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}.