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LCM of 570, 366, 121, 696, 638

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


Find the LCM of 570, 366, 121, 696, 638 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 570, 366, 121, 696, 638. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 570,366,121,696,638

Given numbers are 570,366,121,696,638

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

The LCM of 570,366,121,696,638 is 488031720.

Find LCM of 570,366,121,696,638 with Prime Factorization


2 570, 366, 121, 696, 638
3 285, 183, 121, 348, 319
11 95, 61, 121, 116, 319
29 95, 61, 11, 116, 29
95, 61, 11, 4, 1

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

2 x 3 x 11 x 29 x 95 x 61 x 11 x 4 x 1 = 488031720

Therefore, the lowest common multiple of 570,366,121,696,638 is 488031720.

LCM Formula to Find Lowest Common Multiple of 570,366,121,696,638

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.

570 x 366 x 121 x 696 x 638 = 11209112544960

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.

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

366 : 1, 2, 3, 6, 61, 122, 183, 366

121 : 1, 11, 121

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

638 : 1, 2, 11, 22, 29, 58, 319, 638

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 570,366,121,696,638, is 1.

Now, the common factors can be found like this.

570:2x 3x 5x 19

366:2x 3x 61

121:11x 11

696:2x 2x 2x 3x 29

638:2x 11x 29

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 2x 3x 3x 11x 29 = 22968

Therefore, the value for common factors is 22968.

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 = 11209112544960/(1x22968)

LCM = 11209112544960/22968

LCM = 488031720

Thus, we can understand that the LCM of 570,366,121,696,638 is 488031720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 570, 366, 121, 696, 638

1. What is the LCM of 570, 366, 121, 696, 638?

Answer: LCM of 570, 366, 121, 696, 638 is 488031720.

2. How to calculate the LCM of 570, 366, 121, 696, 638?

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 570, 366, 121, 696, 638.

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}.