Given numbers are 407,122,288,676

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

The LCM of 407,122,288,676 is 1208379744.

Find LCM of 407,122,288,676 with Prime Factorization

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

2 x 2 x 407 x 61 x 72 x 169 = 1208379744

Therefore, the lowest common multiple of 407,122,288,676 is 1208379744.

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.

407 x 122 x 288 x 676 = 9667037952

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.

407 : 1, 11, 37, 407

122 : 1, 2, 61, 122

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,122,288,676, is 1.

Now, the common factors can be found like this.

407:11x 37

122:2x 61

288:2x 2x 2x 2x 2x 3x 3

676:2x 2x 13x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 9667037952/(1x8)

LCM = 9667037952/8

LCM = 1208379744

Thus, we can understand that the LCM of 407,122,288,676 is 1208379744.

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

• LCM of 371, 875, 530, 432
• LCM of 154, 595, 178, 183
• LCM of 168, 254, 551, 627
• LCM of 454, 392, 147, 867
• LCM of 851, 527, 898, 199

1. What is the LCM of 407, 122, 288, 676?

Answer: LCM of 407, 122, 288, 676 is 1208379744.

2. How to calculate the LCM of 407, 122, 288, 676?

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 407, 122, 288, 676.

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}.