Given numbers are 104,972,214,314

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

The LCM of 104,972,214,314 is 424544328.

Find LCM of 104,972,214,314 with Prime Factorization

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

2 x 2 x 26 x 243 x 107 x 157 = 424544328

Therefore, the lowest common multiple of 104,972,214,314 is 424544328.

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.

104 x 972 x 214 x 314 = 6792709248

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.

104 : 1, 2, 4, 8, 13, 26, 52, 104

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

214 : 1, 2, 107, 214

314 : 1, 2, 157, 314

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,972,214,314, is 2.

Now, the common factors can be found like this.

104:2x 2x 2x 13

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

214:2x 107

314:2x 157

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 2 = 8

Therefore, the value for common factors is 8.

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 = 6792709248/(2x8)

LCM = 6792709248/16

LCM = 424544328

Thus, we can understand that the LCM of 104,972,214,314 is 424544328.

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

• LCM of 610, 739, 665, 670
• LCM of 290, 453, 464, 453
• LCM of 933, 991, 848, 866
• LCM of 645, 964, 760, 741
• LCM of 152, 604, 749, 305

1. What is the LCM of 104, 972, 214, 314?

Answer: LCM of 104, 972, 214, 314 is 424544328.

2. How to calculate the LCM of 104, 972, 214, 314?

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 104, 972, 214, 314.

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}.