Given numbers are 683,408,325,642,972

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

The LCM of 683,408,325,642,972 is 784933788600.

Find LCM of 683,408,325,642,972 with Prime Factorization

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

2 x 2 x 3 x 683 x 34 x 325 x 107 x 81 = 784933788600

Therefore, the lowest common multiple of 683,408,325,642,972 is 784933788600.

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.

683 x 408 x 325 x 642 x 972 = 56515232779200

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.

683 : 1, 683

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

325 : 1, 5, 13, 25, 65, 325

642 : 1, 2, 3, 6, 107, 214, 321, 642

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 683,408,325,642,972, is 1.

Now, the common factors can be found like this.

683:683

408:2x 2x 2x 3x 17

325:5x 5x 13

642:2x 3x 107

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 56515232779200/(1x72)

LCM = 56515232779200/72

LCM = 784933788600

Thus, we can understand that the LCM of 683,408,325,642,972 is 784933788600.

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

• LCM of 146, 820, 698, 461, 402
• LCM of 468, 985, 632, 200, 318
• LCM of 527, 327, 504, 906, 866
• LCM of 812, 418, 408, 521, 207
• LCM of 212, 379, 876, 191, 296

1. What is the LCM of 683, 408, 325, 642, 972?

Answer: LCM of 683, 408, 325, 642, 972 is 784933788600.

2. How to calculate the LCM of 683, 408, 325, 642, 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 683, 408, 325, 642, 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}.