Given numbers are 423,378,816,458

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

The LCM of 423,378,816,458 is 553304304.

Find LCM of 423,378,816,458 with Prime Factorization

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

2 x 3 x 3 x 47 x 21 x 136 x 229 = 553304304

Therefore, the lowest common multiple of 423,378,816,458 is 553304304.

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.

423 x 378 x 816 x 458 = 59756864832

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.

423 : 1, 3, 9, 47, 141, 423

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 423,378,816,458, is 1.

Now, the common factors can be found like this.

423:3x 3x 47

378:2x 3x 3x 3x 7

816:2x 2x 2x 2x 3x 17

458:2x 229

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 59756864832/(1x108)

LCM = 59756864832/108

LCM = 553304304

Thus, we can understand that the LCM of 423,378,816,458 is 553304304.

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

• LCM of 909, 118, 760, 507
• LCM of 599, 785, 845, 915
• LCM of 382, 530, 493, 573
• LCM of 947, 808, 928, 797
• LCM of 754, 292, 440, 864

1. What is the LCM of 423, 378, 816, 458?

Answer: LCM of 423, 378, 816, 458 is 553304304.

2. How to calculate the LCM of 423, 378, 816, 458?

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 423, 378, 816, 458.

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}.