Given numbers are 458,336,504,816

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

The LCM of 458,336,504,816 is 3924144.

Find LCM of 458,336,504,816 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 7 x 229 x 1 x 3 x 17 = 3924144

Therefore, the lowest common multiple of 458,336,504,816 is 3924144.

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 336 x 504 x 816 = 63288594432

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

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 458,336,504,816, is 2.

Now, the common factors can be found like this.

458:2x 229

336:2x 2x 2x 2x 3x 7

504:2x 2x 2x 3x 3x 7

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

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 2x 2x 3x 3x 7 = 8064

Therefore, the value for common factors is 8064.

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 = 63288594432/(2x8064)

LCM = 63288594432/16128

LCM = 3924144

Thus, we can understand that the LCM of 458,336,504,816 is 3924144.

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

• LCM of 279, 199, 857, 139
• LCM of 273, 294, 681, 835
• LCM of 338, 270, 721, 560
• LCM of 142, 566, 635, 186
• LCM of 956, 785, 120, 924

1. What is the LCM of 458, 336, 504, 816?

Answer: LCM of 458, 336, 504, 816 is 3924144.

2. How to calculate the LCM of 458, 336, 504, 816?

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, 336, 504, 816.

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}.