Given numbers are 438,642,546,480,518

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

The LCM of 438,642,546,480,518 is 12623825760.

Find LCM of 438,642,546,480,518 with Prime Factorization

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

2 x 3 x 7 x 73 x 107 x 13 x 80 x 37 = 12623825760

Therefore, the lowest common multiple of 438,642,546,480,518 is 12623825760.

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.

438 x 642 x 546 x 480 x 518 = 38174449098240

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.

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

518 : 1, 2, 7, 14, 37, 74, 259, 518

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,642,546,480,518, is 2.

Now, the common factors can be found like this.

438:2x 3x 73

642:2x 3x 107

546:2x 3x 7x 13

480:2x 2x 2x 2x 2x 3x 5

518:2x 7x 37

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 3x 3x 3x 7 = 1512

Therefore, the value for common factors is 1512.

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 = 38174449098240/(2x1512)

LCM = 38174449098240/3024

LCM = 12623825760

Thus, we can understand that the LCM of 438,642,546,480,518 is 12623825760.

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

• LCM of 781, 777, 150, 189, 287
• LCM of 115, 352, 272, 885, 619
• LCM of 940, 649, 565, 685, 664
• LCM of 876, 440, 427, 146, 131
• LCM of 821, 152, 391, 666, 952

1. What is the LCM of 438, 642, 546, 480, 518?

Answer: LCM of 438, 642, 546, 480, 518 is 12623825760.

2. How to calculate the LCM of 438, 642, 546, 480, 518?

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 438, 642, 546, 480, 518.

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}.