Given numbers are 135,395,578,524,240

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

The LCM of 135,395,578,524,240 is 6460259760.

Find LCM of 135,395,578,524,240 with Prime Factorization

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

2 x 2 x 3 x 5 x 9 x 79 x 289 x 131 x 4 = 6460259760

Therefore, the lowest common multiple of 135,395,578,524,240 is 6460259760.

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.

135 x 395 x 578 x 524 x 240 = 3876155856000

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.

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

395 : 1, 5, 79, 395

578 : 1, 2, 17, 34, 289, 578

524 : 1, 2, 4, 131, 262, 524

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,395,578,524,240, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

395:5x 79

578:2x 17x 17

524:2x 2x 131

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

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 5x 5 = 600

Therefore, the value for common factors is 600.

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 = 3876155856000/(1x600)

LCM = 3876155856000/600

LCM = 6460259760

Thus, we can understand that the LCM of 135,395,578,524,240 is 6460259760.

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

• LCM of 605, 286, 714, 486, 225
• LCM of 547, 245, 812, 869, 196
• LCM of 264, 820, 962, 978, 558
• LCM of 535, 404, 209, 939, 703
• LCM of 314, 832, 302, 360, 516

1. What is the LCM of 135, 395, 578, 524, 240?

Answer: LCM of 135, 395, 578, 524, 240 is 6460259760.

2. How to calculate the LCM of 135, 395, 578, 524, 240?

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 135, 395, 578, 524, 240.

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}.