Given numbers are 172,936,586,714

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

The LCM of 172,936,586,714 is 1403327016.

Find LCM of 172,936,586,714 with Prime Factorization

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

2 x 2 x 3 x 43 x 78 x 293 x 119 = 1403327016

Therefore, the lowest common multiple of 172,936,586,714 is 1403327016.

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.

172 x 936 x 586 x 714 = 67359696768

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.

172 : 1, 2, 4, 43, 86, 172

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

586 : 1, 2, 293, 586

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,936,586,714, is 2.

Now, the common factors can be found like this.

172:2x 2x 43

936:2x 2x 2x 3x 3x 13

586:2x 293

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 3 = 24

Therefore, the value for common factors is 24.

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 = 67359696768/(2x24)

LCM = 67359696768/48

LCM = 1403327016

Thus, we can understand that the LCM of 172,936,586,714 is 1403327016.

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

• LCM of 663, 145, 387, 559
• LCM of 651, 682, 152, 799
• LCM of 309, 289, 270, 488
• LCM of 841, 300, 157, 148
• LCM of 131, 922, 399, 527

1. What is the LCM of 172, 936, 586, 714?

Answer: LCM of 172, 936, 586, 714 is 1403327016.

2. How to calculate the LCM of 172, 936, 586, 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 172, 936, 586, 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}.