Given numbers are 216,609,714,168

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

The LCM of 216,609,714,168 is 745416.

Find LCM of 216,609,714,168 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 9 x 29 x 17 x 1 = 745416

Therefore, the lowest common multiple of 216,609,714,168 is 745416.

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.

216 x 609 x 714 x 168 = 15778965888

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.

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

609 : 1, 3, 7, 21, 29, 87, 203, 609

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 216,609,714,168, is 3.

Now, the common factors can be found like this.

216:2x 2x 2x 3x 3x 3

609:3x 7x 29

714:2x 3x 7x 17

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 7x 7 = 7056

Therefore, the value for common factors is 7056.

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 = 15778965888/(3x7056)

LCM = 15778965888/21168

LCM = 745416

Thus, we can understand that the LCM of 216,609,714,168 is 745416.

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

• LCM of 465, 866, 541, 907
• LCM of 954, 406, 662, 750
• LCM of 624, 911, 227, 901
• LCM of 746, 592, 837, 463
• LCM of 921, 769, 557, 524

1. What is the LCM of 216, 609, 714, 168?

Answer: LCM of 216, 609, 714, 168 is 745416.

2. How to calculate the LCM of 216, 609, 714, 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 216, 609, 714, 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}.