Given numbers are 408,131,122,728

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

The LCM of 408,131,122,728 is 296689848.

Find LCM of 408,131,122,728 with Prime Factorization

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

2 x 2 x 2 x 51 x 131 x 61 x 91 = 296689848

Therefore, the lowest common multiple of 408,131,122,728 is 296689848.

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.

408 x 131 x 122 x 728 = 4747037568

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.

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

131 : 1, 131

122 : 1, 2, 61, 122

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 408,131,122,728, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

131:131

122:2x 61

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.

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 4747037568/(1x16)

LCM = 4747037568/16

LCM = 296689848

Thus, we can understand that the LCM of 408,131,122,728 is 296689848.

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

• LCM of 275, 477, 533, 600
• LCM of 652, 911, 444, 406
• LCM of 639, 192, 988, 770
• LCM of 971, 451, 308, 811
• LCM of 129, 258, 392, 673

1. What is the LCM of 408, 131, 122, 728?

Answer: LCM of 408, 131, 122, 728 is 296689848.

2. How to calculate the LCM of 408, 131, 122, 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 408, 131, 122, 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}.