Given numbers are 135,451,360,336,610

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

The LCM of 135,451,360,336,610 is 415966320.

Find LCM of 135,451,360,336,610 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 1 x 451 x 3 x 14 x 61 = 415966320

Therefore, the lowest common multiple of 135,451,360,336,610 is 415966320.

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 451 x 360 x 336 x 610 = 4492436256000

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

451 : 1, 11, 41, 451

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,451,360,336,610, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

451:11x 41

360:2x 2x 2x 3x 3x 5

336:2x 2x 2x 2x 3x 7

610:2x 5x 61

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 2x 3x 3x 3x 5x 5 = 10800

Therefore, the value for common factors is 10800.

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 = 4492436256000/(1x10800)

LCM = 4492436256000/10800

LCM = 415966320

Thus, we can understand that the LCM of 135,451,360,336,610 is 415966320.

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

• LCM of 338, 736, 252, 242, 872
• LCM of 985, 927, 156, 989, 261
• LCM of 358, 467, 800, 775, 680
• LCM of 111, 712, 793, 531, 218
• LCM of 746, 981, 426, 990, 765

1. What is the LCM of 135, 451, 360, 336, 610?

Answer: LCM of 135, 451, 360, 336, 610 is 415966320.

2. How to calculate the LCM of 135, 451, 360, 336, 610?

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, 451, 360, 336, 610.

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}.