Given numbers are 440,410,516,957,493

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

The LCM of 440,410,516,957,493 is 1147289880.

Find LCM of 440,410,516,957,493 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 29 x 2 x 41 x 43 x 1 x 17 = 1147289880

Therefore, the lowest common multiple of 440,410,516,957,493 is 1147289880.

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.

440 x 410 x 516 x 957 x 493 = 43918256606400

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.

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

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

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

957 : 1, 3, 11, 29, 33, 87, 319, 957

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 440,410,516,957,493, is 1.

Now, the common factors can be found like this.

440:2x 2x 2x 5x 11

410:2x 5x 41

516:2x 2x 3x 43

957:3x 11x 29

493:17x 29

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 3x 5x 11x 29 = 38280

Therefore, the value for common factors is 38280.

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 = 43918256606400/(1x38280)

LCM = 43918256606400/38280

LCM = 1147289880

Thus, we can understand that the LCM of 440,410,516,957,493 is 1147289880.

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

• LCM of 647, 609, 650, 251, 149
• LCM of 963, 845, 602, 605, 913
• LCM of 935, 442, 382, 433, 311
• LCM of 771, 667, 175, 467, 735
• LCM of 898, 126, 910, 815, 851

1. What is the LCM of 440, 410, 516, 957, 493?

Answer: LCM of 440, 410, 516, 957, 493 is 1147289880.

2. How to calculate the LCM of 440, 410, 516, 957, 493?

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 440, 410, 516, 957, 493.

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}.