Given numbers are 568,440,696,416

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

The LCM of 568,440,696,416 is 141329760.

Find LCM of 568,440,696,416 with Prime Factorization

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

2 x 2 x 2 x 71 x 55 x 87 x 52 = 141329760

Therefore, the lowest common multiple of 568,440,696,416 is 141329760.

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.

568 x 440 x 696 x 416 = 72360837120

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.

568 : 1, 2, 4, 8, 71, 142, 284, 568

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

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

8 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,440,696,416, is 8.

Now, the common factors can be found like this.

568:2x 2x 2x 71

440:2x 2x 2x 5x 11

696:2x 2x 2x 3x 29

416:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 72360837120/(8x64)

LCM = 72360837120/512

LCM = 141329760

Thus, we can understand that the LCM of 568,440,696,416 is 141329760.

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

• LCM of 877, 902, 683, 989
• LCM of 684, 166, 254, 572
• LCM of 284, 516, 292, 211
• LCM of 303, 943, 752, 881
• LCM of 958, 378, 883, 349

1. What is the LCM of 568, 440, 696, 416?

Answer: LCM of 568, 440, 696, 416 is 141329760.

2. How to calculate the LCM of 568, 440, 696, 416?

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 568, 440, 696, 416.

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}.