Given numbers are 444,150,214,270,501

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

The LCM of 444,150,214,270,501 is 1785113100.

Find LCM of 444,150,214,270,501 with Prime Factorization

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

2 x 3 x 5 x 74 x 5 x 107 x 9 x 167 = 1785113100

Therefore, the lowest common multiple of 444,150,214,270,501 is 1785113100.

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.

444 x 150 x 214 x 270 x 501 = 1927922148000

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.

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

214 : 1, 2, 107, 214

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

501 : 1, 3, 167, 501

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 444,150,214,270,501, is 1.

Now, the common factors can be found like this.

444:2x 2x 3x 37

150:2x 3x 5x 5

214:2x 107

270:2x 3x 3x 3x 5

501:3x 167

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 5 = 1080

Therefore, the value for common factors is 1080.

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 = 1927922148000/(1x1080)

LCM = 1927922148000/1080

LCM = 1785113100

Thus, we can understand that the LCM of 444,150,214,270,501 is 1785113100.

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

• LCM of 927, 444, 936, 943, 336
• LCM of 603, 413, 563, 640, 961
• LCM of 824, 617, 455, 193, 970
• LCM of 533, 413, 923, 973, 697
• LCM of 390, 846, 754, 331, 980

1. What is the LCM of 444, 150, 214, 270, 501?

Answer: LCM of 444, 150, 214, 270, 501 is 1785113100.

2. How to calculate the LCM of 444, 150, 214, 270, 501?

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 444, 150, 214, 270, 501.

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}.