Given numbers are 464,614,471,248,144

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

The LCM of 464,614,471,248,144 is 6239649744.

Find LCM of 464,614,471,248,144 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 29 x 307 x 157 x 31 x 3 = 6239649744

Therefore, the lowest common multiple of 464,614,471,248,144 is 6239649744.

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.

464 x 614 x 471 x 248 x 144 = 4792051003392

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

614 : 1, 2, 307, 614

471 : 1, 3, 157, 471

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,614,471,248,144, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

614:2x 307

471:3x 157

248:2x 2x 2x 31

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 2x 2x 2x 3 = 768

Therefore, the value for common factors is 768.

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 = 4792051003392/(1x768)

LCM = 4792051003392/768

LCM = 6239649744

Thus, we can understand that the LCM of 464,614,471,248,144 is 6239649744.

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

• LCM of 904, 450, 344, 809, 687
• LCM of 623, 700, 682, 851, 265
• LCM of 227, 527, 381, 909, 706
• LCM of 103, 104, 139, 904, 347
• LCM of 605, 821, 943, 752, 934

1. What is the LCM of 464, 614, 471, 248, 144?

Answer: LCM of 464, 614, 471, 248, 144 is 6239649744.

2. How to calculate the LCM of 464, 614, 471, 248, 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 464, 614, 471, 248, 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}.