Given numbers are 727,644,488,840,842

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

The LCM of 727,644,488,840,842 is 360706080840.

Find LCM of 727,644,488,840,842 with Prime Factorization

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

2 x 2 x 2 x 7 x 727 x 23 x 61 x 15 x 421 = 360706080840

Therefore, the lowest common multiple of 727,644,488,840,842 is 360706080840.

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.

727 x 644 x 488 x 840 x 842 = 161596324216320

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.

727 : 1, 727

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

488 : 1, 2, 4, 8, 61, 122, 244, 488

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,644,488,840,842, is 1.

Now, the common factors can be found like this.

727:727

644:2x 2x 7x 23

488:2x 2x 2x 61

840:2x 2x 2x 3x 5x 7

842:2x 421

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 2x 2x 7 = 448

Therefore, the value for common factors is 448.

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 = 161596324216320/(1x448)

LCM = 161596324216320/448

LCM = 360706080840

Thus, we can understand that the LCM of 727,644,488,840,842 is 360706080840.

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

• LCM of 111, 145, 162, 931, 528
• LCM of 138, 310, 179, 116, 265
• LCM of 265, 812, 139, 209, 313
• LCM of 235, 151, 429, 439, 347
• LCM of 215, 650, 753, 588, 390

1. What is the LCM of 727, 644, 488, 840, 842?

Answer: LCM of 727, 644, 488, 840, 842 is 360706080840.

2. How to calculate the LCM of 727, 644, 488, 840, 842?

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 727, 644, 488, 840, 842.

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}.