Given numbers are 168,924,702,714

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

The LCM of 168,924,702,714 is 3675672.

Find LCM of 168,924,702,714 with Prime Factorization

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

2 x 2 x 3 x 7 x 2 x 11 x 117 x 17 = 3675672

Therefore, the lowest common multiple of 168,924,702,714 is 3675672.

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.

168 x 924 x 702 x 714 = 77806624896

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.

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 168,924,702,714, is 6.

Now, the common factors can be found like this.

168:2x 2x 2x 3x 7

924:2x 2x 3x 7x 11

702:2x 3x 3x 3x 13

714:2x 3x 7x 17

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 3x 3x 7x 7 = 3528

Therefore, the value for common factors is 3528.

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 = 77806624896/(6x3528)

LCM = 77806624896/21168

LCM = 3675672

Thus, we can understand that the LCM of 168,924,702,714 is 3675672.

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

• LCM of 149, 992, 773, 708
• LCM of 776, 571, 533, 614
• LCM of 302, 623, 521, 303
• LCM of 361, 439, 449, 866
• LCM of 211, 845, 921, 418

1. What is the LCM of 168, 924, 702, 714?

Answer: LCM of 168, 924, 702, 714 is 3675672.

2. How to calculate the LCM of 168, 924, 702, 714?

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 168, 924, 702, 714.

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}.