Given numbers are 364,458,133,463

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

The LCM of 364,458,133,463 is 733282732.

Find LCM of 364,458,133,463 with Prime Factorization

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

2 x 7 x 26 x 229 x 19 x 463 = 733282732

Therefore, the lowest common multiple of 364,458,133,463 is 733282732.

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.

364 x 458 x 133 x 463 = 10265958248

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

458 : 1, 2, 229, 458

133 : 1, 7, 19, 133

463 : 1, 463

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,458,133,463, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

458:2x 229

133:7x 19

463:463

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 10265958248/(1x14)

LCM = 10265958248/14

LCM = 733282732

Thus, we can understand that the LCM of 364,458,133,463 is 733282732.

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

• LCM of 906, 227, 611, 988
• LCM of 954, 647, 966, 344
• LCM of 507, 881, 919, 433
• LCM of 968, 534, 138, 466
• LCM of 286, 505, 858, 601

1. What is the LCM of 364, 458, 133, 463?

Answer: LCM of 364, 458, 133, 463 is 733282732.

2. How to calculate the LCM of 364, 458, 133, 463?

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 364, 458, 133, 463.

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}.