Given numbers are 290,480,454,129,183

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

The LCM of 290,480,454,129,183 is 8288260320.

Find LCM of 290,480,454,129,183 with Prime Factorization

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

2 x 3 x 5 x 29 x 16 x 227 x 43 x 61 = 8288260320

Therefore, the lowest common multiple of 290,480,454,129,183 is 8288260320.

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.

290 x 480 x 454 x 129 x 183 = 1491886857600

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

454 : 1, 2, 227, 454

129 : 1, 3, 43, 129

183 : 1, 3, 61, 183

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,480,454,129,183, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

480:2x 2x 2x 2x 2x 3x 5

454:2x 227

129:3x 43

183:3x 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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 1491886857600/(1x180)

LCM = 1491886857600/180

LCM = 8288260320

Thus, we can understand that the LCM of 290,480,454,129,183 is 8288260320.

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

• LCM of 106, 528, 927, 867, 391
• LCM of 234, 116, 357, 567, 218
• LCM of 811, 611, 914, 320, 952
• LCM of 196, 171, 858, 264, 426
• LCM of 995, 956, 210, 766, 789

1. What is the LCM of 290, 480, 454, 129, 183?

Answer: LCM of 290, 480, 454, 129, 183 is 8288260320.

2. How to calculate the LCM of 290, 480, 454, 129, 183?

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 290, 480, 454, 129, 183.

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}.