Given numbers are 354,204,114,326,798

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

The LCM of 354,204,114,326,798 is 260928444.

Find LCM of 354,204,114,326,798 with Prime Factorization

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

2 x 3 x 19 x 59 x 34 x 1 x 163 x 7 = 260928444

Therefore, the lowest common multiple of 354,204,114,326,798 is 260928444.

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 204 x 114 x 326 x 798 = 2141700668352

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

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

114 : 1, 2, 3, 6, 19, 38, 57, 114

326 : 1, 2, 163, 326

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,204,114,326,798, is 2.

Now, the common factors can be found like this.

354:2x 3x 59

204:2x 2x 3x 17

114:2x 3x 19

326:2x 163

798:2x 3x 7x 19

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 3x 3x 3x 19 = 4104

Therefore, the value for common factors is 4104.

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 = 2141700668352/(2x4104)

LCM = 2141700668352/8208

LCM = 260928444

Thus, we can understand that the LCM of 354,204,114,326,798 is 260928444.

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

• LCM of 819, 469, 256, 178, 111
• LCM of 665, 245, 444, 487, 943
• LCM of 841, 467, 783, 233, 922
• LCM of 558, 890, 464, 775, 309
• LCM of 203, 442, 458, 534, 788

1. What is the LCM of 354, 204, 114, 326, 798?

Answer: LCM of 354, 204, 114, 326, 798 is 260928444.

2. How to calculate the LCM of 354, 204, 114, 326, 798?

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, 204, 114, 326, 798.

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}.