Given numbers are 135,295,490,754,170

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

The LCM of 135,295,490,754,170 is 5002673130.

Find LCM of 135,295,490,754,170 with Prime Factorization

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

2 x 5 x 27 x 59 x 49 x 377 x 17 = 5002673130

Therefore, the lowest common multiple of 135,295,490,754,170 is 5002673130.

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 295 x 490 x 754 x 170 = 2501336565000

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

295 : 1, 5, 59, 295

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

754 : 1, 2, 13, 26, 29, 58, 377, 754

170 : 1, 2, 5, 10, 17, 34, 85, 170

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,295,490,754,170, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

295:5x 59

490:2x 5x 7x 7

754:2x 13x 29

170:2x 5x 17

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 5x 5x 5 = 500

Therefore, the value for common factors is 500.

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 = 2501336565000/(1x500)

LCM = 2501336565000/500

LCM = 5002673130

Thus, we can understand that the LCM of 135,295,490,754,170 is 5002673130.

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

• LCM of 389, 527, 926, 794, 591
• LCM of 654, 245, 273, 979, 259
• LCM of 265, 665, 503, 320, 790
• LCM of 313, 139, 710, 704, 796
• LCM of 572, 998, 157, 520, 898

1. What is the LCM of 135, 295, 490, 754, 170?

Answer: LCM of 135, 295, 490, 754, 170 is 5002673130.

2. How to calculate the LCM of 135, 295, 490, 754, 170?

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, 295, 490, 754, 170.

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}.