Given numbers are 396,958,406,756,742

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

The LCM of 396,958,406,756,742 is 6122430468.

Find LCM of 396,958,406,756,742 with Prime Factorization

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

2 x 2 x 3 x 3 x 7 x 11 x 479 x 29 x 3 x 53 = 6122430468

Therefore, the lowest common multiple of 396,958,406,756,742 is 6122430468.

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.

396 x 958 x 406 x 756 x 742 = 86399738764416

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

958 : 1, 2, 479, 958

406 : 1, 2, 7, 14, 29, 58, 203, 406

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,958,406,756,742, is 2.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

958:2x 479

406:2x 7x 29

756:2x 2x 3x 3x 3x 7

742:2x 7x 53

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 3x 3x 7x 7 = 7056

Therefore, the value for common factors is 7056.

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 = 86399738764416/(2x7056)

LCM = 86399738764416/14112

LCM = 6122430468

Thus, we can understand that the LCM of 396,958,406,756,742 is 6122430468.

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

• LCM of 649, 922, 550, 679, 738
• LCM of 286, 556, 402, 398, 648
• LCM of 917, 501, 884, 444, 624
• LCM of 575, 648, 913, 815, 568
• LCM of 120, 540, 689, 798, 282

1. What is the LCM of 396, 958, 406, 756, 742?

Answer: LCM of 396, 958, 406, 756, 742 is 6122430468.

2. How to calculate the LCM of 396, 958, 406, 756, 742?

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 396, 958, 406, 756, 742.

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}.