Given numbers are 290,375,385,136,496

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

The LCM of 290,375,385,136,496 is 7060746000.

Find LCM of 290,375,385,136,496 with Prime Factorization

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

2 x 2 x 2 x 5 x 29 x 75 x 77 x 17 x 62 = 7060746000

Therefore, the lowest common multiple of 290,375,385,136,496 is 7060746000.

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 375 x 385 x 136 x 496 = 2824298400000

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

375 : 1, 3, 5, 15, 25, 75, 125, 375

385 : 1, 5, 7, 11, 35, 55, 77, 385

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

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,375,385,136,496, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

375:3x 5x 5x 5

385:5x 7x 11

136:2x 2x 2x 17

496:2x 2x 2x 2x 31

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 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 2824298400000/(1x400)

LCM = 2824298400000/400

LCM = 7060746000

Thus, we can understand that the LCM of 290,375,385,136,496 is 7060746000.

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

• LCM of 988, 116, 907, 627, 567
• LCM of 679, 598, 923, 701, 803
• LCM of 188, 306, 230, 870, 817
• LCM of 213, 409, 934, 961, 738
• LCM of 237, 766, 333, 856, 131

1. What is the LCM of 290, 375, 385, 136, 496?

Answer: LCM of 290, 375, 385, 136, 496 is 7060746000.

2. How to calculate the LCM of 290, 375, 385, 136, 496?

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, 375, 385, 136, 496.

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}.