Given numbers are 354,258,546,409

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

The LCM of 354,258,546,409 is 566547618.

Find LCM of 354,258,546,409 with Prime Factorization

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

2 x 3 x 59 x 43 x 91 x 409 = 566547618

Therefore, the lowest common multiple of 354,258,546,409 is 566547618.

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 258 x 546 x 409 = 20395714248

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

258 : 1, 2, 3, 6, 43, 86, 129, 258

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,258,546,409, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

258:2x 3x 43

546:2x 3x 7x 13

409:409

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 20395714248/(1x36)

LCM = 20395714248/36

LCM = 566547618

Thus, we can understand that the LCM of 354,258,546,409 is 566547618.

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

• LCM of 651, 698, 355, 408
• LCM of 474, 244, 588, 949
• LCM of 653, 975, 143, 131
• LCM of 403, 383, 424, 136
• LCM of 888, 456, 186, 634

1. What is the LCM of 354, 258, 546, 409?

Answer: LCM of 354, 258, 546, 409 is 566547618.

2. How to calculate the LCM of 354, 258, 546, 409?

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, 258, 546, 409.

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}.