Given numbers are 480,471,924,328,629

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

The LCM of 480,471,924,328,629 is 149646346080.

Find LCM of 480,471,924,328,629 with Prime Factorization

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

2 x 2 x 2 x 3 x 20 x 157 x 77 x 41 x 629 = 149646346080

Therefore, the lowest common multiple of 480,471,924,328,629 is 149646346080.

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.

480 x 471 x 924 x 328 x 629 = 43098147671040

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.

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

471 : 1, 3, 157, 471

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

328 : 1, 2, 4, 8, 41, 82, 164, 328

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,471,924,328,629, is 1.

Now, the common factors can be found like this.

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

471:3x 157

924:2x 2x 3x 7x 11

328:2x 2x 2x 41

629:17x 37

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 3 = 288

Therefore, the value for common factors is 288.

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 = 43098147671040/(1x288)

LCM = 43098147671040/288

LCM = 149646346080

Thus, we can understand that the LCM of 480,471,924,328,629 is 149646346080.

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

• LCM of 263, 926, 461, 972, 909
• LCM of 762, 347, 486, 541, 144
• LCM of 803, 970, 730, 474, 477
• LCM of 690, 342, 831, 470, 821
• LCM of 856, 773, 999, 440, 834

1. What is the LCM of 480, 471, 924, 328, 629?

Answer: LCM of 480, 471, 924, 328, 629 is 149646346080.

2. How to calculate the LCM of 480, 471, 924, 328, 629?

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 480, 471, 924, 328, 629.

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}.