Given numbers are 445,258,381,387,714

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

The LCM of 445,258,381,387,714 is 5205370590.

Find LCM of 445,258,381,387,714 with Prime Factorization

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

2 x 3 x 43 x 445 x 1 x 127 x 3 x 119 = 5205370590

Therefore, the lowest common multiple of 445,258,381,387,714 is 5205370590.

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.

445 x 258 x 381 x 387 x 714 = 12086870509980

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.

445 : 1, 5, 89, 445

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

381 : 1, 3, 127, 381

387 : 1, 3, 9, 43, 129, 387

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 445,258,381,387,714, is 1.

Now, the common factors can be found like this.

445:5x 89

258:2x 3x 43

381:3x 127

387:3x 3x 43

714:2x 3x 7x 17

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

2x 3x 3x 3x 43 = 2322

Therefore, the value for common factors is 2322.

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 = 12086870509980/(1x2322)

LCM = 12086870509980/2322

LCM = 5205370590

Thus, we can understand that the LCM of 445,258,381,387,714 is 5205370590.

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

• LCM of 309, 620, 339, 684, 195
• LCM of 882, 505, 463, 976, 609
• LCM of 112, 673, 556, 937, 854
• LCM of 978, 132, 303, 322, 717
• LCM of 170, 445, 584, 371, 224

1. What is the LCM of 445, 258, 381, 387, 714?

Answer: LCM of 445, 258, 381, 387, 714 is 5205370590.

2. How to calculate the LCM of 445, 258, 381, 387, 714?

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 445, 258, 381, 387, 714.

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}.