Given numbers are 409,917,136,268

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

The LCM of 409,917,136,268 is 3417482936.

Find LCM of 409,917,136,268 with Prime Factorization

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

2 x 2 x 409 x 917 x 34 x 67 = 3417482936

Therefore, the lowest common multiple of 409,917,136,268 is 3417482936.

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.

409 x 917 x 136 x 268 = 13669931744

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.

409 : 1, 409

917 : 1, 7, 131, 917

136 : 1, 2, 4, 8, 17, 34, 68, 136

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,917,136,268, is 1.

Now, the common factors can be found like this.

409:409

917:7x 131

136:2x 2x 2x 17

268:2x 2x 67

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 13669931744/(1x4)

LCM = 13669931744/4

LCM = 3417482936

Thus, we can understand that the LCM of 409,917,136,268 is 3417482936.

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

• LCM of 162, 536, 251, 251
• LCM of 784, 405, 541, 372
• LCM of 406, 484, 600, 987
• LCM of 347, 778, 784, 110
• LCM of 207, 985, 769, 313

1. What is the LCM of 409, 917, 136, 268?

Answer: LCM of 409, 917, 136, 268 is 3417482936.

2. How to calculate the LCM of 409, 917, 136, 268?

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 409, 917, 136, 268.

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}.