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LCM of 671, 122, 570, 280, 621

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


Find the LCM of 671, 122, 570, 280, 621 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 671, 122, 570, 280, 621. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 671,122,570,280,621

Given numbers are 671,122,570,280,621

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

The LCM of 671,122,570,280,621 is 2216796120.

Find LCM of 671,122,570,280,621 with Prime Factorization


2 671, 122, 570, 280, 621
3 671, 61, 285, 140, 621
5 671, 61, 95, 140, 207
61 671, 61, 19, 28, 207
11, 1, 19, 28, 207

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

2 x 3 x 5 x 61 x 11 x 1 x 19 x 28 x 207 = 2216796120

Therefore, the lowest common multiple of 671,122,570,280,621 is 2216796120.

LCM Formula to Find Lowest Common Multiple of 671,122,570,280,621

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.

671 x 122 x 570 x 280 x 621 = 8113473799200

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.

671 : 1, 11, 61, 671

122 : 1, 2, 61, 122

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

621 : 1, 3, 9, 23, 27, 69, 207, 621

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 671,122,570,280,621, is 1.

Now, the common factors can be found like this.

671:11x 61

122:2x 61

570:2x 3x 5x 19

280:2x 2x 2x 5x 7

621:3x 3x 3x 23

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

2x 2x 3x 5x 61 = 3660

Therefore, the value for common factors is 3660.

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 = 8113473799200/(1x3660)

LCM = 8113473799200/3660

LCM = 2216796120

Thus, we can understand that the LCM of 671,122,570,280,621 is 2216796120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 671, 122, 570, 280, 621

1. What is the LCM of 671, 122, 570, 280, 621?

Answer: LCM of 671, 122, 570, 280, 621 is 2216796120.

2. How to calculate the LCM of 671, 122, 570, 280, 621?

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 671, 122, 570, 280, 621.

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}.