Given numbers are 218,562,646,978

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

The LCM of 218,562,646,978 is 9675517326.

Find LCM of 218,562,646,978 with Prime Factorization

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

2 x 109 x 281 x 323 x 489 = 9675517326

Therefore, the lowest common multiple of 218,562,646,978 is 9675517326.

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.

218 x 562 x 646 x 978 = 77404138608

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.

218 : 1, 2, 109, 218

562 : 1, 2, 281, 562

646 : 1, 2, 17, 19, 34, 38, 323, 646

978 : 1, 2, 3, 6, 163, 326, 489, 978

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,562,646,978, is 2.

Now, the common factors can be found like this.

218:2x 109

562:2x 281

646:2x 17x 19

978:2x 3x 163

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 77404138608/(2x4)

LCM = 77404138608/8

LCM = 9675517326

Thus, we can understand that the LCM of 218,562,646,978 is 9675517326.

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

• LCM of 667, 490, 501, 612
• LCM of 323, 891, 449, 160
• LCM of 379, 840, 769, 450
• LCM of 796, 182, 396, 111
• LCM of 619, 445, 929, 928

1. What is the LCM of 218, 562, 646, 978?

Answer: LCM of 218, 562, 646, 978 is 9675517326.

2. How to calculate the LCM of 218, 562, 646, 978?

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 218, 562, 646, 978.

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}.