Given numbers are 469,676,814,458,916

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

The LCM of 469,676,814,458,916 is 29549451932.

Find LCM of 469,676,814,458,916 with Prime Factorization

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

2 x 2 x 229 x 469 x 169 x 407 x 1 x 1 = 29549451932

Therefore, the lowest common multiple of 469,676,814,458,916 is 29549451932.

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.

469 x 676 x 814 x 458 x 916 = 108269191878848

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.

469 : 1, 7, 67, 469

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

458 : 1, 2, 229, 458

916 : 1, 2, 4, 229, 458, 916

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,676,814,458,916, is 1.

Now, the common factors can be found like this.

469:7x 67

676:2x 2x 13x 13

814:2x 11x 37

458:2x 229

916:2x 2x 229

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 229 = 3664

Therefore, the value for common factors is 3664.

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 = 108269191878848/(1x3664)

LCM = 108269191878848/3664

LCM = 29549451932

Thus, we can understand that the LCM of 469,676,814,458,916 is 29549451932.

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

• LCM of 756, 158, 864, 803, 841
• LCM of 818, 351, 389, 527, 693
• LCM of 385, 859, 591, 875, 111
• LCM of 750, 831, 479, 170, 805
• LCM of 985, 538, 961, 279, 248

1. What is the LCM of 469, 676, 814, 458, 916?

Answer: LCM of 469, 676, 814, 458, 916 is 29549451932.

2. How to calculate the LCM of 469, 676, 814, 458, 916?

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 469, 676, 814, 458, 916.

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}.