Given numbers are 398,765,728

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

The LCM of 398,765,728 is 110827080.

Find LCM of 398,765,728 with Prime Factorization

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

2 x 199 x 765 x 364 = 110827080

Therefore, the lowest common multiple of 398,765,728 is 110827080.

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.

398 x 765 x 728 = 221654160

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.

398 : 1, 2, 199, 398

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,765,728, is 1.

Now, the common factors can be found like this.

398:2x 199

765:3x 3x 5x 17

728:2x 2x 2x 7x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 221654160/(1x2)

LCM = 221654160/2

LCM = 110827080

Thus, we can understand that the LCM of 398,765,728 is 110827080.

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

• LCM of 724, 887, 253
• LCM of 504, 249, 469
• LCM of 662, 727, 586
• LCM of 931, 798, 540
• LCM of 887, 307, 666

1. What is the LCM of 398, 765, 728?

Answer: LCM of 398, 765, 728 is 110827080.

2. How to calculate the LCM of 398, 765, 728?

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 398, 765, 728.

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}.