Given numbers are 644,230,380,552,826

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

The LCM of 644,230,380,552,826 is 21657720.

Find LCM of 644,230,380,552,826 with Prime Factorization

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

2 x 2 x 5 x 7 x 23 x 1 x 1 x 19 x 6 x 59 = 21657720

Therefore, the lowest common multiple of 644,230,380,552,826 is 21657720.

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.

644 x 230 x 380 x 552 x 826 = 25663531891200

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

230 : 1, 2, 5, 10, 23, 46, 115, 230

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

826 : 1, 2, 7, 14, 59, 118, 413, 826

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,230,380,552,826, is 2.

Now, the common factors can be found like this.

644:2x 2x 7x 23

230:2x 5x 23

380:2x 2x 5x 19

552:2x 2x 2x 3x 23

826:2x 7x 59

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 2x 2x 5x 7x 23x 23 = 592480

Therefore, the value for common factors is 592480.

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 = 25663531891200/(2x592480)

LCM = 25663531891200/1184960

LCM = 21657720

Thus, we can understand that the LCM of 644,230,380,552,826 is 21657720.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 126, 887, 672, 142, 342
• LCM of 951, 320, 171, 665, 336
• LCM of 102, 926, 486, 936, 623
• LCM of 249, 232, 716, 976, 762
• LCM of 886, 885, 538, 823, 172

1. What is the LCM of 644, 230, 380, 552, 826?

Answer: LCM of 644, 230, 380, 552, 826 is 21657720.

2. How to calculate the LCM of 644, 230, 380, 552, 826?

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 644, 230, 380, 552, 826.

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}.