Given numbers are 493,406,568,438,587

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

The LCM of 493,406,568,438,587 is 251985476904.

Find LCM of 493,406,568,438,587 with Prime Factorization

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

2 x 29 x 17 x 7 x 284 x 219 x 587 = 251985476904

Therefore, the lowest common multiple of 493,406,568,438,587 is 251985476904.

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.

493 x 406 x 568 x 438 x 587 = 29230315320864

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.

493 : 1, 17, 29, 493

406 : 1, 2, 7, 14, 29, 58, 203, 406

568 : 1, 2, 4, 8, 71, 142, 284, 568

438 : 1, 2, 3, 6, 73, 146, 219, 438

587 : 1, 587

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,406,568,438,587, is 1.

Now, the common factors can be found like this.

493:17x 29

406:2x 7x 29

568:2x 2x 2x 71

438:2x 3x 73

587:587

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 = 29230315320864/(1x116)

LCM = 29230315320864/116

LCM = 251985476904

Thus, we can understand that the LCM of 493,406,568,438,587 is 251985476904.

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

• LCM of 448, 945, 240, 208, 803
• LCM of 978, 696, 105, 745, 368
• LCM of 748, 488, 180, 901, 245
• LCM of 475, 482, 225, 693, 283
• LCM of 225, 406, 435, 295, 274

1. What is the LCM of 493, 406, 568, 438, 587?

Answer: LCM of 493, 406, 568, 438, 587 is 251985476904.

2. How to calculate the LCM of 493, 406, 568, 438, 587?

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 493, 406, 568, 438, 587.

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}.