Given numbers are 161,936,312,972

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

The LCM of 161,936,312,972 is 4068792.

Find LCM of 161,936,312,972 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 13 x 161 x 1 x 1 x 27 = 4068792

Therefore, the lowest common multiple of 161,936,312,972 is 4068792.

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.

161 x 936 x 312 x 972 = 45700671744

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.

161 : 1, 7, 23, 161

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,936,312,972, is 1.

Now, the common factors can be found like this.

161:7x 23

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

312:2x 2x 2x 3x 13

972:2x 2x 3x 3x 3x 3x 3

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 2x 3x 3x 3x 13 = 11232

Therefore, the value for common factors is 11232.

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 = 45700671744/(1x11232)

LCM = 45700671744/11232

LCM = 4068792

Thus, we can understand that the LCM of 161,936,312,972 is 4068792.

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

• LCM of 382, 649, 558, 643
• LCM of 812, 816, 395, 394
• LCM of 215, 576, 287, 706
• LCM of 696, 973, 230, 126
• LCM of 864, 132, 119, 532

1. What is the LCM of 161, 936, 312, 972?

Answer: LCM of 161, 936, 312, 972 is 4068792.

2. How to calculate the LCM of 161, 936, 312, 972?

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 161, 936, 312, 972.

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}.