Given numbers are 364,409,334,264

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

The LCM of 364,409,334,264 is 1640911272.

Find LCM of 364,409,334,264 with Prime Factorization

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

2 x 2 x 91 x 409 x 167 x 66 = 1640911272

Therefore, the lowest common multiple of 364,409,334,264 is 1640911272.

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.

364 x 409 x 334 x 264 = 13127290176

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

409 : 1, 409

334 : 1, 2, 167, 334

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,409,334,264, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

409:409

334:2x 167

264:2x 2x 2x 3x 11

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 = 13127290176/(1x8)

LCM = 13127290176/8

LCM = 1640911272

Thus, we can understand that the LCM of 364,409,334,264 is 1640911272.

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

• LCM of 523, 646, 908, 353
• LCM of 682, 246, 205, 441
• LCM of 606, 766, 951, 877
• LCM of 771, 570, 375, 847
• LCM of 346, 206, 423, 429

1. What is the LCM of 364, 409, 334, 264?

Answer: LCM of 364, 409, 334, 264 is 1640911272.

2. How to calculate the LCM of 364, 409, 334, 264?

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 364, 409, 334, 264.

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}.