Given numbers are 508,444,582,102,144

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

The LCM of 508,444,582,102,144 is 1115805744.

Find LCM of 508,444,582,102,144 with Prime Factorization

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

2 x 2 x 3 x 127 x 37 x 97 x 17 x 12 = 1115805744

Therefore, the lowest common multiple of 508,444,582,102,144 is 1115805744.

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.

508 x 444 x 582 x 102 x 144 = 1928112325632

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.

508 : 1, 2, 4, 127, 254, 508

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

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

102 : 1, 2, 3, 6, 17, 34, 51, 102

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,444,582,102,144, is 2.

Now, the common factors can be found like this.

508:2x 2x 127

444:2x 2x 3x 37

582:2x 3x 97

102:2x 3x 17

144:2x 2x 2x 2x 3x 3

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 1928112325632/(2x864)

LCM = 1928112325632/1728

LCM = 1115805744

Thus, we can understand that the LCM of 508,444,582,102,144 is 1115805744.

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

• LCM of 320, 776, 920, 410, 437
• LCM of 864, 522, 146, 137, 353
• LCM of 220, 889, 433, 970, 878
• LCM of 123, 340, 922, 540, 188
• LCM of 948, 390, 952, 329, 994

1. What is the LCM of 508, 444, 582, 102, 144?

Answer: LCM of 508, 444, 582, 102, 144 is 1115805744.

2. How to calculate the LCM of 508, 444, 582, 102, 144?

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 508, 444, 582, 102, 144.

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}.