Given numbers are 724,168,276,406,388

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

The LCM of 724,168,276,406,388 is 1967367192.

Find LCM of 724,168,276,406,388 with Prime Factorization

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

2 x 2 x 3 x 7 x 181 x 2 x 23 x 29 x 97 = 1967367192

Therefore, the lowest common multiple of 724,168,276,406,388 is 1967367192.

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.

724 x 168 x 276 x 406 x 388 = 5288283012096

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.

724 : 1, 2, 4, 181, 362, 724

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

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

388 : 1, 2, 4, 97, 194, 388

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,168,276,406,388, is 2.

Now, the common factors can be found like this.

724:2x 2x 181

168:2x 2x 2x 3x 7

276:2x 2x 3x 23

406:2x 7x 29

388:2x 2x 97

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 2x 3x 7 = 1344

Therefore, the value for common factors is 1344.

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 = 5288283012096/(2x1344)

LCM = 5288283012096/2688

LCM = 1967367192

Thus, we can understand that the LCM of 724,168,276,406,388 is 1967367192.

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

• LCM of 780, 700, 254, 771, 879
• LCM of 588, 802, 691, 412, 819
• LCM of 475, 633, 219, 389, 379
• LCM of 299, 728, 769, 449, 389
• LCM of 314, 231, 534, 177, 889

1. What is the LCM of 724, 168, 276, 406, 388?

Answer: LCM of 724, 168, 276, 406, 388 is 1967367192.

2. How to calculate the LCM of 724, 168, 276, 406, 388?

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 724, 168, 276, 406, 388.

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}.