Given numbers are 697,149,780,416,842

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

The LCM of 697,149,780,416,842 is 272825985120.

Find LCM of 697,149,780,416,842 with Prime Factorization

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

2 x 2 x 13 x 697 x 149 x 15 x 8 x 421 = 272825985120

Therefore, the lowest common multiple of 697,149,780,416,842 is 272825985120.

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.

697 x 149 x 780 x 416 x 842 = 28373902452480

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.

697 : 1, 17, 41, 697

149 : 1, 149

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,149,780,416,842, is 1.

Now, the common factors can be found like this.

697:17x 41

149:149

780:2x 2x 3x 5x 13

416:2x 2x 2x 2x 2x 13

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 13 = 104

Therefore, the value for common factors is 104.

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 = 28373902452480/(1x104)

LCM = 28373902452480/104

LCM = 272825985120

Thus, we can understand that the LCM of 697,149,780,416,842 is 272825985120.

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

• LCM of 340, 479, 359, 827, 278
• LCM of 409, 665, 871, 699, 579
• LCM of 259, 491, 682, 492, 850
• LCM of 668, 816, 400, 380, 637
• LCM of 394, 686, 531, 768, 350

1. What is the LCM of 697, 149, 780, 416, 842?

Answer: LCM of 697, 149, 780, 416, 842 is 272825985120.

2. How to calculate the LCM of 697, 149, 780, 416, 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 697, 149, 780, 416, 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}.