Given numbers are 771,488,458,814,497

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

The LCM of 771,488,458,814,497 is 17428518844968.

Find LCM of 771,488,458,814,497 with Prime Factorization

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

2 x 771 x 244 x 229 x 407 x 497 = 17428518844968

Therefore, the lowest common multiple of 771,488,458,814,497 is 17428518844968.

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.

771 x 488 x 458 x 814 x 497 = 69714075379872

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.

771 : 1, 3, 257, 771

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

458 : 1, 2, 229, 458

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

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,488,458,814,497, is 1.

Now, the common factors can be found like this.

771:3x 257

488:2x 2x 2x 61

458:2x 229

814:2x 11x 37

497:7x 71

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 = 69714075379872/(1x4)

LCM = 69714075379872/4

LCM = 17428518844968

Thus, we can understand that the LCM of 771,488,458,814,497 is 17428518844968.

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

• LCM of 991, 186, 364, 415, 368
• LCM of 496, 595, 332, 640, 186
• LCM of 994, 489, 611, 276, 887
• LCM of 422, 238, 497, 299, 101
• LCM of 583, 367, 533, 661, 640

1. What is the LCM of 771, 488, 458, 814, 497?

Answer: LCM of 771, 488, 458, 814, 497 is 17428518844968.

2. How to calculate the LCM of 771, 488, 458, 814, 497?

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 771, 488, 458, 814, 497.

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}.