Given numbers are 778,208,814,351

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

The LCM of 778,208,814,351 is 889141968.

Find LCM of 778,208,814,351 with Prime Factorization

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

2 x 13 x 389 x 8 x 407 x 27 = 889141968

Therefore, the lowest common multiple of 778,208,814,351 is 889141968.

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.

778 x 208 x 814 x 351 = 46235382336

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.

778 : 1, 2, 389, 778

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

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,208,814,351, is 1.

Now, the common factors can be found like this.

778:2x 389

208:2x 2x 2x 2x 13

814:2x 11x 37

351:3x 3x 3x 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 13 = 52

Therefore, the value for common factors is 52.

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 = 46235382336/(1x52)

LCM = 46235382336/52

LCM = 889141968

Thus, we can understand that the LCM of 778,208,814,351 is 889141968.

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

• LCM of 301, 691, 729, 140
• LCM of 666, 594, 827, 519
• LCM of 533, 278, 352, 468
• LCM of 803, 943, 174, 100
• LCM of 414, 905, 359, 151

1. What is the LCM of 778, 208, 814, 351?

Answer: LCM of 778, 208, 814, 351 is 889141968.

2. How to calculate the LCM of 778, 208, 814, 351?

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 778, 208, 814, 351.

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}.