Given numbers are 728,354,821

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

The LCM of 728,354,821 is 105790776.

Find LCM of 728,354,821 with Prime Factorization

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

2 x 364 x 177 x 821 = 105790776

Therefore, the lowest common multiple of 728,354,821 is 105790776.

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 354 x 821 = 211581552

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

821 : 1, 821

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,354,821, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

354:2x 3x 59

821:821

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 = 211581552/(1x2)

LCM = 211581552/2

LCM = 105790776

Thus, we can understand that the LCM of 728,354,821 is 105790776.

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

• LCM of 232, 592, 908
• LCM of 450, 806, 692
• LCM of 174, 428, 915
• LCM of 211, 230, 158
• LCM of 428, 907, 902

1. What is the LCM of 728, 354, 821?

Answer: LCM of 728, 354, 821 is 105790776.

2. How to calculate the LCM of 728, 354, 821?

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, 354, 821.

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}.