Given numbers are 328,354,578,994

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

The LCM of 328,354,578,994 is 8338757448.

Find LCM of 328,354,578,994 with Prime Factorization

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

2 x 164 x 177 x 289 x 497 = 8338757448

Therefore, the lowest common multiple of 328,354,578,994 is 8338757448.

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.

328 x 354 x 578 x 994 = 66710059584

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

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

578 : 1, 2, 17, 34, 289, 578

994 : 1, 2, 7, 14, 71, 142, 497, 994

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,354,578,994, is 2.

Now, the common factors can be found like this.

328:2x 2x 2x 41

354:2x 3x 59

578:2x 17x 17

994:2x 7x 71

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 = 66710059584/(2x4)

LCM = 66710059584/8

LCM = 8338757448

Thus, we can understand that the LCM of 328,354,578,994 is 8338757448.

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

• LCM of 744, 290, 690, 224
• LCM of 362, 551, 663, 215
• LCM of 893, 356, 770, 135
• LCM of 846, 638, 157, 992
• LCM of 670, 865, 295, 415

1. What is the LCM of 328, 354, 578, 994?

Answer: LCM of 328, 354, 578, 994 is 8338757448.

2. How to calculate the LCM of 328, 354, 578, 994?

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 328, 354, 578, 994.

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}.