Given numbers are 422,648,549,118,408

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

The LCM of 422,648,549,118,408 is 8365429224.

Find LCM of 422,648,549,118,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 211 x 9 x 61 x 59 x 17 = 8365429224

Therefore, the lowest common multiple of 422,648,549,118,408 is 8365429224.

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.

422 x 648 x 549 x 118 x 408 = 7227730849536

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.

422 : 1, 2, 211, 422

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

549 : 1, 3, 9, 61, 183, 549

118 : 1, 2, 59, 118

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,648,549,118,408, is 1.

Now, the common factors can be found like this.

422:2x 211

648:2x 2x 2x 3x 3x 3x 3

549:3x 3x 61

118:2x 59

408:2x 2x 2x 3x 17

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 7227730849536/(1x864)

LCM = 7227730849536/864

LCM = 8365429224

Thus, we can understand that the LCM of 422,648,549,118,408 is 8365429224.

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

• LCM of 259, 779, 501, 655, 587
• LCM of 232, 792, 385, 606, 518
• LCM of 313, 861, 623, 667, 818
• LCM of 585, 830, 803, 849, 456
• LCM of 761, 770, 262, 996, 139

1. What is the LCM of 422, 648, 549, 118, 408?

Answer: LCM of 422, 648, 549, 118, 408 is 8365429224.

2. How to calculate the LCM of 422, 648, 549, 118, 408?

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 422, 648, 549, 118, 408.

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}.