Given numbers are 630,506,424,249

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

The LCM of 630,506,424,249 is 2804626440.

Find LCM of 630,506,424,249 with Prime Factorization

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

2 x 3 x 105 x 253 x 212 x 83 = 2804626440

Therefore, the lowest common multiple of 630,506,424,249 is 2804626440.

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 506 x 424 x 249 = 33655517280

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

506 : 1, 2, 11, 22, 23, 46, 253, 506

424 : 1, 2, 4, 8, 53, 106, 212, 424

249 : 1, 3, 83, 249

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,506,424,249, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

506:2x 11x 23

424:2x 2x 2x 53

249:3x 83

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 3 = 12

Therefore, the value for common factors is 12.

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 = 33655517280/(1x12)

LCM = 33655517280/12

LCM = 2804626440

Thus, we can understand that the LCM of 630,506,424,249 is 2804626440.

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

• LCM of 829, 950, 151, 371
• LCM of 810, 864, 732, 405
• LCM of 316, 771, 831, 893
• LCM of 307, 846, 890, 193
• LCM of 565, 174, 501, 406

1. What is the LCM of 630, 506, 424, 249?

Answer: LCM of 630, 506, 424, 249 is 2804626440.

2. How to calculate the LCM of 630, 506, 424, 249?

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, 506, 424, 249.

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}.