Given numbers are 757,762,720,403,414

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

The LCM of 757,762,720,403,414 is 641600921520.

Find LCM of 757,762,720,403,414 with Prime Factorization

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

2 x 3 x 3 x 757 x 127 x 40 x 403 x 23 = 641600921520

Therefore, the lowest common multiple of 757,762,720,403,414 is 641600921520.

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.

757 x 762 x 720 x 403 x 414 = 69292899524160

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.

757 : 1, 757

762 : 1, 2, 3, 6, 127, 254, 381, 762

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

403 : 1, 13, 31, 403

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,762,720,403,414, is 1.

Now, the common factors can be found like this.

757:757

762:2x 3x 127

720:2x 2x 2x 2x 3x 3x 5

403:13x 31

414:2x 3x 3x 23

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 69292899524160/(1x108)

LCM = 69292899524160/108

LCM = 641600921520

Thus, we can understand that the LCM of 757,762,720,403,414 is 641600921520.

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

• LCM of 805, 856, 583, 323, 896
• LCM of 302, 932, 338, 410, 857
• LCM of 536, 413, 556, 366, 357
• LCM of 140, 797, 629, 425, 458
• LCM of 710, 843, 150, 834, 784

1. What is the LCM of 757, 762, 720, 403, 414?

Answer: LCM of 757, 762, 720, 403, 414 is 641600921520.

2. How to calculate the LCM of 757, 762, 720, 403, 414?

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 757, 762, 720, 403, 414.

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}.