Given numbers are 714,624,667,447,715

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

The LCM of 714,624,667,447,715 is 405888122640.

Find LCM of 714,624,667,447,715 with Prime Factorization

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

2 x 3 x 13 x 119 x 8 x 667 x 149 x 55 = 405888122640

Therefore, the lowest common multiple of 714,624,667,447,715 is 405888122640.

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.

714 x 624 x 667 x 447 x 715 = 94977820697760

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.

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

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

667 : 1, 23, 29, 667

447 : 1, 3, 149, 447

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 714,624,667,447,715, is 1.

Now, the common factors can be found like this.

714:2x 3x 7x 17

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

667:23x 29

447:3x 149

715:5x 11x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 13 = 234

Therefore, the value for common factors is 234.

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 = 94977820697760/(1x234)

LCM = 94977820697760/234

LCM = 405888122640

Thus, we can understand that the LCM of 714,624,667,447,715 is 405888122640.

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

• LCM of 939, 651, 966, 735, 473
• LCM of 198, 152, 285, 466, 377
• LCM of 949, 617, 948, 150, 661
• LCM of 182, 544, 670, 584, 103
• LCM of 579, 697, 592, 777, 230

1. What is the LCM of 714, 624, 667, 447, 715?

Answer: LCM of 714, 624, 667, 447, 715 is 405888122640.

2. How to calculate the LCM of 714, 624, 667, 447, 715?

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 714, 624, 667, 447, 715.

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}.