Given numbers are 697,759,142,702,760

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

The LCM of 697,759,142,702,760 is 3339891486360.

Find LCM of 697,759,142,702,760 with Prime Factorization

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

2 x 3 x 697 x 253 x 71 x 117 x 380 = 3339891486360

Therefore, the lowest common multiple of 697,759,142,702,760 is 3339891486360.

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.

697 x 759 x 142 x 702 x 760 = 40078697836320

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.

697 : 1, 17, 41, 697

759 : 1, 3, 11, 23, 33, 69, 253, 759

142 : 1, 2, 71, 142

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,759,142,702,760, is 1.

Now, the common factors can be found like this.

697:17x 41

759:3x 11x 23

142:2x 71

702:2x 3x 3x 3x 13

760:2x 2x 2x 5x 19

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 3 = 12

Therefore, the value for common factors is 12.

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 = 40078697836320/(1x12)

LCM = 40078697836320/12

LCM = 3339891486360

Thus, we can understand that the LCM of 697,759,142,702,760 is 3339891486360.

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

• LCM of 748, 871, 509, 847, 578
• LCM of 232, 657, 460, 372, 140
• LCM of 652, 477, 903, 772, 327
• LCM of 287, 638, 832, 410, 866
• LCM of 731, 543, 213, 411, 294

1. What is the LCM of 697, 759, 142, 702, 760?

Answer: LCM of 697, 759, 142, 702, 760 is 3339891486360.

2. How to calculate the LCM of 697, 759, 142, 702, 760?

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 697, 759, 142, 702, 760.

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}.