Given numbers are 630,705,540,990

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

The LCM of 630,705,540,990 is 1954260.

Find LCM of 630,705,540,990 with Prime Factorization

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

2 x 3 x 3 x 5 x 7 x 47 x 6 x 11 = 1954260

Therefore, the lowest common multiple of 630,705,540,990 is 1954260.

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 705 x 540 x 990 = 237442590000

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

705 : 1, 3, 5, 15, 47, 141, 235, 705

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

15 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,705,540,990, is 15.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

705:3x 5x 47

540:2x 2x 3x 3x 3x 5

990:2x 3x 3x 5x 11

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 3x 3x 3x 3x 5x 5 = 8100

Therefore, the value for common factors is 8100.

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 = 237442590000/(15x8100)

LCM = 237442590000/121500

LCM = 1954260

Thus, we can understand that the LCM of 630,705,540,990 is 1954260.

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

• LCM of 425, 755, 142, 311
• LCM of 575, 837, 375, 866
• LCM of 858, 924, 581, 998
• LCM of 663, 653, 634, 630
• LCM of 944, 528, 544, 987

1. What is the LCM of 630, 705, 540, 990?

Answer: LCM of 630, 705, 540, 990 is 1954260.

2. How to calculate the LCM of 630, 705, 540, 990?

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, 705, 540, 990.

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}.