Given numbers are 406,985,936,742

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

The LCM of 406,985,936,742 is 9919367640.

Find LCM of 406,985,936,742 with Prime Factorization

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

2 x 7 x 29 x 985 x 468 x 53 = 9919367640

Therefore, the lowest common multiple of 406,985,936,742 is 9919367640.

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.

406 x 985 x 936 x 742 = 277742293920

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.

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

985 : 1, 5, 197, 985

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,985,936,742, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

985:5x 197

936:2x 2x 2x 3x 3x 13

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 7 = 28

Therefore, the value for common factors is 28.

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 = 277742293920/(1x28)

LCM = 277742293920/28

LCM = 9919367640

Thus, we can understand that the LCM of 406,985,936,742 is 9919367640.

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

• LCM of 528, 703, 675, 733
• LCM of 679, 807, 609, 623
• LCM of 369, 998, 461, 461
• LCM of 356, 483, 488, 572
• LCM of 724, 390, 555, 827

1. What is the LCM of 406, 985, 936, 742?

Answer: LCM of 406, 985, 936, 742 is 9919367640.

2. How to calculate the LCM of 406, 985, 936, 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 406, 985, 936, 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}.