Given numbers are 240,289,135,737,370

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

The LCM of 240,289,135,737,370 is 17022400560.

Find LCM of 240,289,135,737,370 with Prime Factorization

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

2 x 3 x 5 x 8 x 289 x 9 x 737 x 37 = 17022400560

Therefore, the lowest common multiple of 240,289,135,737,370 is 17022400560.

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 289 x 135 x 737 x 370 = 2553360084000

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

289 : 1, 17, 289

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

737 : 1, 11, 67, 737

370 : 1, 2, 5, 10, 37, 74, 185, 370

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 240,289,135,737,370, is 1.

Now, the common factors can be found like this.

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

289:17x 17

135:3x 3x 3x 5

737:11x 67

370:2x 5x 37

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 5 = 150

Therefore, the value for common factors is 150.

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 = 2553360084000/(1x150)

LCM = 2553360084000/150

LCM = 17022400560

Thus, we can understand that the LCM of 240,289,135,737,370 is 17022400560.

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

• LCM of 365, 396, 529, 157, 273
• LCM of 428, 623, 258, 855, 494
• LCM of 965, 613, 673, 899, 267
• LCM of 456, 460, 437, 500, 517
• LCM of 894, 257, 606, 561, 300

1. What is the LCM of 240, 289, 135, 737, 370?

Answer: LCM of 240, 289, 135, 737, 370 is 17022400560.

2. How to calculate the LCM of 240, 289, 135, 737, 370?

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, 289, 135, 737, 370.

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}.