Given numbers are 697,812,323,532,214

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

The LCM of 697,812,323,532,214 is 1150604812.

Find LCM of 697,812,323,532,214 with Prime Factorization

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

2 x 2 x 7 x 17 x 19 x 41 x 29 x 1 x 1 x 107 = 1150604812

Therefore, the lowest common multiple of 697,812,323,532,214 is 1150604812.

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 812 x 323 x 532 x 214 = 20812139839456

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

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

323 : 1, 17, 19, 323

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,812,323,532,214, is 1.

Now, the common factors can be found like this.

697:17x 41

812:2x 2x 7x 29

323:17x 19

532:2x 2x 7x 19

214:2x 107

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 7x 17x 19 = 18088

Therefore, the value for common factors is 18088.

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 = 20812139839456/(1x18088)

LCM = 20812139839456/18088

LCM = 1150604812

Thus, we can understand that the LCM of 697,812,323,532,214 is 1150604812.

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

• LCM of 605, 414, 592, 603, 259
• LCM of 870, 224, 318, 225, 192
• LCM of 446, 849, 681, 185, 607
• LCM of 187, 383, 642, 755, 680
• LCM of 364, 435, 764, 196, 966

1. What is the LCM of 697, 812, 323, 532, 214?

Answer: LCM of 697, 812, 323, 532, 214 is 1150604812.

2. How to calculate the LCM of 697, 812, 323, 532, 214?

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, 812, 323, 532, 214.

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}.