Given numbers are 458,104,638,290

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

The LCM of 458,104,638,290 is 37986520.

Find LCM of 458,104,638,290 with Prime Factorization

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

2 x 29 x 229 x 52 x 11 x 5 = 37986520

Therefore, the lowest common multiple of 458,104,638,290 is 37986520.

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.

458 x 104 x 638 x 290 = 8812872640

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.

458 : 1, 2, 229, 458

104 : 1, 2, 4, 8, 13, 26, 52, 104

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

290 : 1, 2, 5, 10, 29, 58, 145, 290

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,104,638,290, is 2.

Now, the common factors can be found like this.

458:2x 229

104:2x 2x 2x 13

638:2x 11x 29

290:2x 5x 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 29 = 116

Therefore, the value for common factors is 116.

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 = 8812872640/(2x116)

LCM = 8812872640/232

LCM = 37986520

Thus, we can understand that the LCM of 458,104,638,290 is 37986520.

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

• LCM of 917, 627, 483, 518
• LCM of 788, 276, 933, 269
• LCM of 593, 848, 589, 405
• LCM of 174, 411, 340, 109
• LCM of 448, 883, 898, 874

1. What is the LCM of 458, 104, 638, 290?

Answer: LCM of 458, 104, 638, 290 is 37986520.

2. How to calculate the LCM of 458, 104, 638, 290?

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 458, 104, 638, 290.

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}.