Given numbers are 240,135,575,590,257

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

The LCM of 240,135,575,590,257 is 3766489200.

Find LCM of 240,135,575,590,257 with Prime Factorization

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

2 x 3 x 5 x 8 x 9 x 115 x 59 x 257 = 3766489200

Therefore, the lowest common multiple of 240,135,575,590,257 is 3766489200.

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.

240 x 135 x 575 x 590 x 257 = 2824866900000

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.

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

135 : 1, 3, 5, 9, 15, 27, 45, 135

575 : 1, 5, 23, 25, 115, 575

590 : 1, 2, 5, 10, 59, 118, 295, 590

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,135,575,590,257, is 1.

Now, the common factors can be found like this.

240:2x 2x 2x 2x 3x 5

135:3x 3x 3x 5

575:5x 5x 23

590:2x 5x 59

257:257

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 5x 5x 5 = 750

Therefore, the value for common factors is 750.

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 = 2824866900000/(1x750)

LCM = 2824866900000/750

LCM = 3766489200

Thus, we can understand that the LCM of 240,135,575,590,257 is 3766489200.

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

• LCM of 803, 595, 843, 223, 467
• LCM of 821, 755, 473, 712, 528
• LCM of 554, 975, 523, 835, 472
• LCM of 579, 174, 967, 948, 544
• LCM of 216, 941, 510, 667, 453

1. What is the LCM of 240, 135, 575, 590, 257?

Answer: LCM of 240, 135, 575, 590, 257 is 3766489200.

2. How to calculate the LCM of 240, 135, 575, 590, 257?

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 240, 135, 575, 590, 257.

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}.