Given numbers are 582,948,208,624,379

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

The LCM of 582,948,208,624,379 is 1812268848.

Find LCM of 582,948,208,624,379 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 13 x 97 x 79 x 1 x 1 x 379 = 1812268848

Therefore, the lowest common multiple of 582,948,208,624,379 is 1812268848.

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.

582 x 948 x 208 x 624 x 379 = 27140538267648

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.

582 : 1, 2, 3, 6, 97, 194, 291, 582

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

379 : 1, 379

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 582,948,208,624,379, is 1.

Now, the common factors can be found like this.

582:2x 3x 97

948:2x 2x 3x 79

208:2x 2x 2x 2x 13

624:2x 2x 2x 2x 3x 13

379:379

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 2x 3x 3x 13 = 14976

Therefore, the value for common factors is 14976.

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 = 27140538267648/(1x14976)

LCM = 27140538267648/14976

LCM = 1812268848

Thus, we can understand that the LCM of 582,948,208,624,379 is 1812268848.

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

• LCM of 101, 388, 386, 235, 329
• LCM of 413, 501, 616, 571, 663
• LCM of 814, 483, 816, 819, 100
• LCM of 854, 490, 270, 550, 288
• LCM of 948, 292, 619, 372, 987

1. What is the LCM of 582, 948, 208, 624, 379?

Answer: LCM of 582, 948, 208, 624, 379 is 1812268848.

2. How to calculate the LCM of 582, 948, 208, 624, 379?

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 582, 948, 208, 624, 379.

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}.