Given numbers are 630,464,466,676

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

The LCM of 630,464,466,676 is 5755342320.

Find LCM of 630,464,466,676 with Prime Factorization

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

2 x 2 x 315 x 116 x 233 x 169 = 5755342320

Therefore, the lowest common multiple of 630,464,466,676 is 5755342320.

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.

630 x 464 x 466 x 676 = 92085477120

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

466 : 1, 2, 233, 466

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,464,466,676, is 2.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

464:2x 2x 2x 2x 29

466:2x 233

676:2x 2x 13x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 92085477120/(2x8)

LCM = 92085477120/16

LCM = 5755342320

Thus, we can understand that the LCM of 630,464,466,676 is 5755342320.

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

• LCM of 344, 960, 908, 566
• LCM of 157, 116, 191, 354
• LCM of 102, 574, 511, 194
• LCM of 367, 592, 818, 389
• LCM of 668, 109, 749, 842

1. What is the LCM of 630, 464, 466, 676?

Answer: LCM of 630, 464, 466, 676 is 5755342320.

2. How to calculate the LCM of 630, 464, 466, 676?

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 630, 464, 466, 676.

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}.