Given numbers are 406,278,702,723

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

The LCM of 406,278,702,723 is 4773808494.

Find LCM of 406,278,702,723 with Prime Factorization

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

2 x 3 x 203 x 139 x 117 x 241 = 4773808494

Therefore, the lowest common multiple of 406,278,702,723 is 4773808494.

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 278 x 702 x 723 = 57285701928

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

278 : 1, 2, 139, 278

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,278,702,723, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

278:2x 139

702:2x 3x 3x 3x 13

723:3x 241

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 = 57285701928/(1x12)

LCM = 57285701928/12

LCM = 4773808494

Thus, we can understand that the LCM of 406,278,702,723 is 4773808494.

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

• LCM of 402, 891, 778, 803
• LCM of 329, 128, 543, 934
• LCM of 514, 355, 288, 732
• LCM of 668, 325, 300, 512
• LCM of 655, 248, 925, 278

1. What is the LCM of 406, 278, 702, 723?

Answer: LCM of 406, 278, 702, 723 is 4773808494.

2. How to calculate the LCM of 406, 278, 702, 723?

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, 278, 702, 723.

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}.