Given numbers are 354,471,214,239

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

The LCM of 354,471,214,239 is 1421296194.

Find LCM of 354,471,214,239 with Prime Factorization

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

2 x 3 x 59 x 157 x 107 x 239 = 1421296194

Therefore, the lowest common multiple of 354,471,214,239 is 1421296194.

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 471 x 214 x 239 = 8527777164

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

471 : 1, 3, 157, 471

214 : 1, 2, 107, 214

239 : 1, 239

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,471,214,239, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

471:3x 157

214:2x 107

239:239

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 8527777164/(1x6)

LCM = 8527777164/6

LCM = 1421296194

Thus, we can understand that the LCM of 354,471,214,239 is 1421296194.

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

• LCM of 888, 241, 953, 976
• LCM of 714, 900, 957, 459
• LCM of 158, 731, 591, 311
• LCM of 419, 489, 441, 182
• LCM of 905, 540, 341, 160

1. What is the LCM of 354, 471, 214, 239?

Answer: LCM of 354, 471, 214, 239 is 1421296194.

2. How to calculate the LCM of 354, 471, 214, 239?

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, 471, 214, 239.

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}.