Given numbers are 704,715,420,424,183

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

The LCM of 704,715,420,424,183 is 3106783680.

Find LCM of 704,715,420,424,183 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 11 x 8 x 13 x 7 x 53 x 61 = 3106783680

Therefore, the lowest common multiple of 704,715,420,424,183 is 3106783680.

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.

704 x 715 x 420 x 424 x 183 = 16403817830400

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.

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

715 : 1, 5, 11, 13, 55, 65, 143, 715

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

424 : 1, 2, 4, 8, 53, 106, 212, 424

183 : 1, 3, 61, 183

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,715,420,424,183, is 1.

Now, the common factors can be found like this.

704:2x 2x 2x 2x 2x 2x 11

715:5x 11x 13

420:2x 2x 3x 5x 7

424:2x 2x 2x 53

183:3x 61

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 2x 2x 3x 5x 11 = 5280

Therefore, the value for common factors is 5280.

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 = 16403817830400/(1x5280)

LCM = 16403817830400/5280

LCM = 3106783680

Thus, we can understand that the LCM of 704,715,420,424,183 is 3106783680.

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

• LCM of 709, 313, 509, 428, 556
• LCM of 165, 946, 366, 938, 147
• LCM of 445, 126, 545, 181, 694
• LCM of 435, 591, 725, 137, 687
• LCM of 976, 417, 693, 505, 511

1. What is the LCM of 704, 715, 420, 424, 183?

Answer: LCM of 704, 715, 420, 424, 183 is 3106783680.

2. How to calculate the LCM of 704, 715, 420, 424, 183?

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 704, 715, 420, 424, 183.

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}.