Given numbers are 754,208,474,480

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

The LCM of 754,208,474,480 is 14295840.

Find LCM of 754,208,474,480 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 29 x 1 x 79 x 10 = 14295840

Therefore, the lowest common multiple of 754,208,474,480 is 14295840.

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.

754 x 208 x 474 x 480 = 35682416640

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

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

474 : 1, 2, 3, 6, 79, 158, 237, 474

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,208,474,480, is 2.

Now, the common factors can be found like this.

754:2x 13x 29

208:2x 2x 2x 2x 13

474:2x 3x 79

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 3x 13 = 1248

Therefore, the value for common factors is 1248.

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 = 35682416640/(2x1248)

LCM = 35682416640/2496

LCM = 14295840

Thus, we can understand that the LCM of 754,208,474,480 is 14295840.

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

• LCM of 285, 944, 566, 309
• LCM of 937, 465, 967, 158
• LCM of 383, 545, 776, 657
• LCM of 233, 924, 429, 217
• LCM of 456, 434, 334, 794

1. What is the LCM of 754, 208, 474, 480?

Answer: LCM of 754, 208, 474, 480 is 14295840.

2. How to calculate the LCM of 754, 208, 474, 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 754, 208, 474, 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}.