Given numbers are 290,272,577,407,475

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

The LCM of 290,272,577,407,475 is 879894765200.

Find LCM of 290,272,577,407,475 with Prime Factorization

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

2 x 5 x 29 x 136 x 577 x 407 x 95 = 879894765200

Therefore, the lowest common multiple of 290,272,577,407,475 is 879894765200.

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 272 x 577 x 407 x 475 = 8798947652000

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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

577 : 1, 577

407 : 1, 11, 37, 407

475 : 1, 5, 19, 25, 95, 475

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,272,577,407,475, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

272:2x 2x 2x 2x 17

577:577

407:11x 37

475:5x 5x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 8798947652000/(1x10)

LCM = 8798947652000/10

LCM = 879894765200

Thus, we can understand that the LCM of 290,272,577,407,475 is 879894765200.

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

• LCM of 140, 551, 203, 484, 186
• LCM of 529, 260, 104, 912, 181
• LCM of 898, 727, 623, 373, 805
• LCM of 628, 285, 918, 261, 899
• LCM of 224, 109, 197, 354, 845

1. What is the LCM of 290, 272, 577, 407, 475?

Answer: LCM of 290, 272, 577, 407, 475 is 879894765200.

2. How to calculate the LCM of 290, 272, 577, 407, 475?

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, 272, 577, 407, 475.

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}.