Given numbers are 972,122,382,166

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

The LCM of 972,122,382,166 is 939956076.

Find LCM of 972,122,382,166 with Prime Factorization

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

2 x 486 x 61 x 191 x 83 = 939956076

Therefore, the lowest common multiple of 972,122,382,166 is 939956076.

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.

972 x 122 x 382 x 166 = 7519648608

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.

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

122 : 1, 2, 61, 122

382 : 1, 2, 191, 382

166 : 1, 2, 83, 166

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,122,382,166, is 2.

Now, the common factors can be found like this.

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

122:2x 61

382:2x 191

166:2x 83

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 7519648608/(2x4)

LCM = 7519648608/8

LCM = 939956076

Thus, we can understand that the LCM of 972,122,382,166 is 939956076.

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

• LCM of 408, 598, 646, 231
• LCM of 297, 472, 802, 574
• LCM of 225, 110, 383, 523
• LCM of 233, 325, 819, 786
• LCM of 464, 589, 449, 889

1. What is the LCM of 972, 122, 382, 166?

Answer: LCM of 972, 122, 382, 166 is 939956076.

2. How to calculate the LCM of 972, 122, 382, 166?

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 972, 122, 382, 166.

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}.