Given numbers are 319,201,483,126,624

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

The LCM of 319,201,483,126,624 is 6441651216.

Find LCM of 319,201,483,126,624 with Prime Factorization

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

2 x 3 x 7 x 319 x 67 x 23 x 3 x 104 = 6441651216

Therefore, the lowest common multiple of 319,201,483,126,624 is 6441651216.

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.

319 x 201 x 483 x 126 x 624 = 2434944159648

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.

319 : 1, 11, 29, 319

201 : 1, 3, 67, 201

483 : 1, 3, 7, 21, 23, 69, 161, 483

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,201,483,126,624, is 1.

Now, the common factors can be found like this.

319:11x 29

201:3x 67

483:3x 7x 23

126:2x 3x 3x 7

624:2x 2x 2x 2x 3x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 7 = 378

Therefore, the value for common factors is 378.

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 = 2434944159648/(1x378)

LCM = 2434944159648/378

LCM = 6441651216

Thus, we can understand that the LCM of 319,201,483,126,624 is 6441651216.

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

• LCM of 222, 882, 248, 437, 574
• LCM of 785, 350, 578, 759, 811
• LCM of 550, 448, 748, 961, 563
• LCM of 352, 740, 663, 712, 684
• LCM of 406, 939, 225, 964, 710

1. What is the LCM of 319, 201, 483, 126, 624?

Answer: LCM of 319, 201, 483, 126, 624 is 6441651216.

2. How to calculate the LCM of 319, 201, 483, 126, 624?

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 319, 201, 483, 126, 624.

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}.