Given numbers are 728,406,203,398

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

The LCM of 728,406,203,398 is 4201288.

Find LCM of 728,406,203,398 with Prime Factorization

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

2 x 7 x 29 x 52 x 1 x 1 x 199 = 4201288

Therefore, the lowest common multiple of 728,406,203,398 is 4201288.

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.

728 x 406 x 203 x 398 = 23880120992

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

203 : 1, 7, 29, 203

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,406,203,398, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

406:2x 7x 29

203:7x 29

398:2x 199

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 7x 7x 29 = 5684

Therefore, the value for common factors is 5684.

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 = 23880120992/(1x5684)

LCM = 23880120992/5684

LCM = 4201288

Thus, we can understand that the LCM of 728,406,203,398 is 4201288.

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

• LCM of 753, 160, 204, 150
• LCM of 669, 248, 591, 360
• LCM of 992, 166, 283, 508
• LCM of 138, 174, 991, 710
• LCM of 141, 895, 817, 950

1. What is the LCM of 728, 406, 203, 398?

Answer: LCM of 728, 406, 203, 398 is 4201288.

2. How to calculate the LCM of 728, 406, 203, 398?

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 728, 406, 203, 398.

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}.