Given numbers are 814,488,769,414

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

The LCM of 814,488,769,414 is 31616290728.

Find LCM of 814,488,769,414 with Prime Factorization

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

2 x 407 x 244 x 769 x 207 = 31616290728

Therefore, the lowest common multiple of 814,488,769,414 is 31616290728.

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.

814 x 488 x 769 x 414 = 126465162912

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

488 : 1, 2, 4, 8, 61, 122, 244, 488

769 : 1, 769

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 814,488,769,414, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

488:2x 2x 2x 61

769:769

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 2 = 4

Therefore, the value for common factors is 4.

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 = 126465162912/(1x4)

LCM = 126465162912/4

LCM = 31616290728

Thus, we can understand that the LCM of 814,488,769,414 is 31616290728.

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

• LCM of 403, 928, 544, 679
• LCM of 630, 590, 583, 842
• LCM of 410, 971, 995, 959
• LCM of 778, 501, 147, 645
• LCM of 584, 549, 842, 644

1. What is the LCM of 814, 488, 769, 414?

Answer: LCM of 814, 488, 769, 414 is 31616290728.

2. How to calculate the LCM of 814, 488, 769, 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 814, 488, 769, 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}.