Given numbers are 629,697,104,972,345

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

The LCM of 629,697,104,972,345 is 74950054920.

Find LCM of 629,697,104,972,345 with Prime Factorization

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

2 x 2 x 3 x 17 x 37 x 41 x 26 x 81 x 115 = 74950054920

Therefore, the lowest common multiple of 629,697,104,972,345 is 74950054920.

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.

629 x 697 x 104 x 972 x 345 = 15289811203680

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.

629 : 1, 17, 37, 629

697 : 1, 17, 41, 697

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

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 629,697,104,972,345, is 1.

Now, the common factors can be found like this.

629:17x 37

697:17x 41

104:2x 2x 2x 13

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

345:3x 5x 23

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 3x 17 = 204

Therefore, the value for common factors is 204.

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 = 15289811203680/(1x204)

LCM = 15289811203680/204

LCM = 74950054920

Thus, we can understand that the LCM of 629,697,104,972,345 is 74950054920.

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

• LCM of 399, 151, 746, 596, 229
• LCM of 367, 887, 883, 570, 840
• LCM of 653, 936, 248, 585, 212
• LCM of 292, 290, 231, 405, 142
• LCM of 118, 886, 861, 648, 179

1. What is the LCM of 629, 697, 104, 972, 345?

Answer: LCM of 629, 697, 104, 972, 345 is 74950054920.

2. How to calculate the LCM of 629, 697, 104, 972, 345?

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 629, 697, 104, 972, 345.

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}.