Given numbers are 458,474,728,107,484

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

The LCM of 458,474,728,107,484 is 511545602568.

Find LCM of 458,474,728,107,484 with Prime Factorization

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

2 x 2 x 229 x 237 x 182 x 107 x 121 = 511545602568

Therefore, the lowest common multiple of 458,474,728,107,484 is 511545602568.

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.

458 x 474 x 728 x 107 x 484 = 8184729641088

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.

458 : 1, 2, 229, 458

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

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

107 : 1, 107

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,474,728,107,484, is 1.

Now, the common factors can be found like this.

458:2x 229

474:2x 3x 79

728:2x 2x 2x 7x 13

107:107

484:2x 2x 11x 11

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 2 = 16

Therefore, the value for common factors is 16.

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 = 8184729641088/(1x16)

LCM = 8184729641088/16

LCM = 511545602568

Thus, we can understand that the LCM of 458,474,728,107,484 is 511545602568.

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

• LCM of 263, 461, 250, 143, 922
• LCM of 927, 612, 149, 141, 158
• LCM of 264, 847, 527, 967, 889
• LCM of 853, 187, 704, 191, 764
• LCM of 229, 245, 247, 677, 767

1. What is the LCM of 458, 474, 728, 107, 484?

Answer: LCM of 458, 474, 728, 107, 484 is 511545602568.

2. How to calculate the LCM of 458, 474, 728, 107, 484?

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 458, 474, 728, 107, 484.

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}.