Given numbers are 614,410,455,440,755

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

The LCM of 614,410,455,440,755 is 76101505480.

Find LCM of 614,410,455,440,755 with Prime Factorization

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

2 x 5 x 307 x 41 x 91 x 44 x 151 = 76101505480

Therefore, the lowest common multiple of 614,410,455,440,755 is 76101505480.

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.

614 x 410 x 455 x 440 x 755 = 38050752740000

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.

614 : 1, 2, 307, 614

410 : 1, 2, 5, 10, 41, 82, 205, 410

455 : 1, 5, 7, 13, 35, 65, 91, 455

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 614,410,455,440,755, is 1.

Now, the common factors can be found like this.

614:2x 307

410:2x 5x 41

455:5x 7x 13

440:2x 2x 2x 5x 11

755:5x 151

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 5x 5x 5 = 500

Therefore, the value for common factors is 500.

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 = 38050752740000/(1x500)

LCM = 38050752740000/500

LCM = 76101505480

Thus, we can understand that the LCM of 614,410,455,440,755 is 76101505480.

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

• LCM of 585, 793, 668, 109, 818
• LCM of 355, 372, 844, 429, 788
• LCM of 861, 194, 881, 801, 940
• LCM of 827, 777, 130, 353, 316
• LCM of 533, 912, 990, 768, 265

1. What is the LCM of 614, 410, 455, 440, 755?

Answer: LCM of 614, 410, 455, 440, 755 is 76101505480.

2. How to calculate the LCM of 614, 410, 455, 440, 755?

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 614, 410, 455, 440, 755.

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}.