Given numbers are 354,864,564,596

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

The LCM of 354,864,564,596 is 356984928.

Find LCM of 354,864,564,596 with Prime Factorization

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

2 x 2 x 3 x 59 x 72 x 47 x 149 = 356984928

Therefore, the lowest common multiple of 354,864,564,596 is 356984928.

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.

354 x 864 x 564 x 596 = 102811659264

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.

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

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

596 : 1, 2, 4, 149, 298, 596

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,864,564,596, is 2.

Now, the common factors can be found like this.

354:2x 3x 59

864:2x 2x 2x 2x 2x 3x 3x 3

564:2x 2x 3x 47

596:2x 2x 149

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 2x 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 102811659264/(2x144)

LCM = 102811659264/288

LCM = 356984928

Thus, we can understand that the LCM of 354,864,564,596 is 356984928.

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

• LCM of 452, 922, 741, 916
• LCM of 978, 623, 890, 986
• LCM of 102, 892, 310, 299
• LCM of 374, 991, 302, 940
• LCM of 231, 398, 915, 699

1. What is the LCM of 354, 864, 564, 596?

Answer: LCM of 354, 864, 564, 596 is 356984928.

2. How to calculate the LCM of 354, 864, 564, 596?

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 354, 864, 564, 596.

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}.