Given numbers are 408,524,690,940,990

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

The LCM of 408,524,690,940,990 is 9533252520.

Find LCM of 408,524,690,940,990 with Prime Factorization

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

2 x 2 x 3 x 5 x 34 x 131 x 23 x 47 x 33 = 9533252520

Therefore, the lowest common multiple of 408,524,690,940,990 is 9533252520.

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.

408 x 524 x 690 x 940 x 990 = 137278836288000

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

524 : 1, 2, 4, 131, 262, 524

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,524,690,940,990, is 2.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

524:2x 2x 131

690:2x 3x 5x 23

940:2x 2x 5x 47

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 2x 2x 2x 3x 3x 5x 5 = 7200

Therefore, the value for common factors is 7200.

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 = 137278836288000/(2x7200)

LCM = 137278836288000/14400

LCM = 9533252520

Thus, we can understand that the LCM of 408,524,690,940,990 is 9533252520.

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

• LCM of 381, 787, 630, 271, 722
• LCM of 133, 619, 386, 218, 959
• LCM of 900, 778, 617, 560, 603
• LCM of 180, 744, 265, 664, 685
• LCM of 342, 820, 467, 193, 574

1. What is the LCM of 408, 524, 690, 940, 990?

Answer: LCM of 408, 524, 690, 940, 990 is 9533252520.

2. How to calculate the LCM of 408, 524, 690, 940, 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 408, 524, 690, 940, 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}.