Given numbers are 290,124,881,456,480

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

The LCM of 290,124,881,456,480 is 7223213280.

Find LCM of 290,124,881,456,480 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 29 x 31 x 881 x 19 x 4 = 7223213280

Therefore, the lowest common multiple of 290,124,881,456,480 is 7223213280.

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 124 x 881 x 456 x 480 = 6934284748800

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

124 : 1, 2, 4, 31, 62, 124

881 : 1, 881

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,124,881,456,480, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

124:2x 2x 31

881:881

456:2x 2x 2x 3x 19

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

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 2x 2x 3x 5 = 960

Therefore, the value for common factors is 960.

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 = 6934284748800/(1x960)

LCM = 6934284748800/960

LCM = 7223213280

Thus, we can understand that the LCM of 290,124,881,456,480 is 7223213280.

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

• LCM of 100, 592, 935, 444, 652
• LCM of 892, 820, 146, 662, 967
• LCM of 551, 807, 287, 759, 142
• LCM of 433, 204, 559, 452, 850
• LCM of 341, 200, 721, 332, 514

1. What is the LCM of 290, 124, 881, 456, 480?

Answer: LCM of 290, 124, 881, 456, 480 is 7223213280.

2. How to calculate the LCM of 290, 124, 881, 456, 480?

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, 124, 881, 456, 480.

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}.