Given numbers are 300,257,421,660,690

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

The LCM of 300,257,421,660,690 is 8212152300.

Find LCM of 300,257,421,660,690 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 257 x 421 x 11 x 23 = 8212152300

Therefore, the lowest common multiple of 300,257,421,660,690 is 8212152300.

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.

300 x 257 x 421 x 660 x 690 = 14781874140000

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.

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

257 : 1, 257

421 : 1, 421

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 300,257,421,660,690, is 1.

Now, the common factors can be found like this.

300:2x 2x 3x 5x 5

257:257

421:421

660:2x 2x 3x 5x 11

690:2x 3x 5x 23

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 5x 5 = 1800

Therefore, the value for common factors is 1800.

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 = 14781874140000/(1x1800)

LCM = 14781874140000/1800

LCM = 8212152300

Thus, we can understand that the LCM of 300,257,421,660,690 is 8212152300.

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

• LCM of 577, 851, 790, 644, 589
• LCM of 179, 661, 924, 448, 673
• LCM of 281, 702, 386, 596, 304
• LCM of 531, 632, 524, 406, 672
• LCM of 644, 157, 385, 140, 476

1. What is the LCM of 300, 257, 421, 660, 690?

Answer: LCM of 300, 257, 421, 660, 690 is 8212152300.

2. How to calculate the LCM of 300, 257, 421, 660, 690?

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 300, 257, 421, 660, 690.

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}.