Given numbers are 816,224,723,857

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

The LCM of 816,224,723,857 is 2359478688.

Find LCM of 816,224,723,857 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 17 x 14 x 241 x 857 = 2359478688

Therefore, the lowest common multiple of 816,224,723,857 is 2359478688.

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.

816 x 224 x 723 x 857 = 113254977024

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.

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

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

723 : 1, 3, 241, 723

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,224,723,857, is 1.

Now, the common factors can be found like this.

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

224:2x 2x 2x 2x 2x 7

723:3x 241

857:857

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 3 = 48

Therefore, the value for common factors is 48.

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 = 113254977024/(1x48)

LCM = 113254977024/48

LCM = 2359478688

Thus, we can understand that the LCM of 816,224,723,857 is 2359478688.

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

• LCM of 229, 667, 152, 760
• LCM of 639, 699, 663, 563
• LCM of 200, 847, 892, 942
• LCM of 512, 279, 793, 205
• LCM of 259, 816, 181, 533

1. What is the LCM of 816, 224, 723, 857?

Answer: LCM of 816, 224, 723, 857 is 2359478688.

2. How to calculate the LCM of 816, 224, 723, 857?

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 816, 224, 723, 857.

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}.