Given numbers are 638,587,546,540,168

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

The LCM of 638,587,546,540,168 is 18403224840.

Find LCM of 638,587,546,540,168 with Prime Factorization

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

2 x 2 x 3 x 7 x 319 x 587 x 13 x 45 x 2 = 18403224840

Therefore, the lowest common multiple of 638,587,546,540,168 is 18403224840.

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.

638 x 587 x 546 x 540 x 168 = 18550450638720

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.

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

587 : 1, 587

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,587,546,540,168, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

587:587

546:2x 3x 7x 13

540:2x 2x 3x 3x 3x 5

168:2x 2x 2x 3x 7

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 3x 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 18550450638720/(1x1008)

LCM = 18550450638720/1008

LCM = 18403224840

Thus, we can understand that the LCM of 638,587,546,540,168 is 18403224840.

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

• LCM of 944, 257, 863, 572, 877
• LCM of 679, 778, 157, 178, 995
• LCM of 666, 272, 185, 197, 994
• LCM of 306, 585, 335, 475, 420
• LCM of 906, 358, 500, 801, 199

1. What is the LCM of 638, 587, 546, 540, 168?

Answer: LCM of 638, 587, 546, 540, 168 is 18403224840.

2. How to calculate the LCM of 638, 587, 546, 540, 168?

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 638, 587, 546, 540, 168.

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}.