Given numbers are 485,692,624,193,407

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

The LCM of 485,692,624,193,407 is 4112672712720.

Find LCM of 485,692,624,193,407 with Prime Factorization

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

2 x 2 x 485 x 173 x 156 x 193 x 407 = 4112672712720

Therefore, the lowest common multiple of 485,692,624,193,407 is 4112672712720.

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.

485 x 692 x 624 x 193 x 407 = 16450690850880

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.

485 : 1, 5, 97, 485

692 : 1, 2, 4, 173, 346, 692

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

193 : 1, 193

407 : 1, 11, 37, 407

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 485,692,624,193,407, is 1.

Now, the common factors can be found like this.

485:5x 97

692:2x 2x 173

624:2x 2x 2x 2x 3x 13

193:193

407:11x 37

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 = 16450690850880/(1x4)

LCM = 16450690850880/4

LCM = 4112672712720

Thus, we can understand that the LCM of 485,692,624,193,407 is 4112672712720.

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

• LCM of 944, 608, 388, 606, 567
• LCM of 415, 973, 632, 655, 566
• LCM of 550, 345, 525, 989, 274
• LCM of 404, 348, 890, 686, 283
• LCM of 119, 298, 932, 647, 559

1. What is the LCM of 485, 692, 624, 193, 407?

Answer: LCM of 485, 692, 624, 193, 407 is 4112672712720.

2. How to calculate the LCM of 485, 692, 624, 193, 407?

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 485, 692, 624, 193, 407.

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}.