Given numbers are 408,354,322,305,554

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

The LCM of 408,354,322,305,554 is 327429390120.

Find LCM of 408,354,322,305,554 with Prime Factorization

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

2 x 3 x 68 x 59 x 161 x 305 x 277 = 327429390120

Therefore, the lowest common multiple of 408,354,322,305,554 is 327429390120.

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 354 x 322 x 305 x 554 = 7858305362880

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

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

322 : 1, 2, 7, 14, 23, 46, 161, 322

305 : 1, 5, 61, 305

554 : 1, 2, 277, 554

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,354,322,305,554, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

354:2x 3x 59

322:2x 7x 23

305:5x 61

554:2x 277

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 3 = 24

Therefore, the value for common factors is 24.

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 = 7858305362880/(1x24)

LCM = 7858305362880/24

LCM = 327429390120

Thus, we can understand that the LCM of 408,354,322,305,554 is 327429390120.

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

• LCM of 363, 213, 695, 305, 700
• LCM of 938, 633, 555, 386, 173
• LCM of 875, 544, 631, 183, 528
• LCM of 520, 861, 335, 468, 660
• LCM of 190, 394, 580, 727, 404

1. What is the LCM of 408, 354, 322, 305, 554?

Answer: LCM of 408, 354, 322, 305, 554 is 327429390120.

2. How to calculate the LCM of 408, 354, 322, 305, 554?

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, 354, 322, 305, 554.

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}.