Given numbers are 684,311,740,824

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

The LCM of 684,311,740,824 is 8106911640.

Find LCM of 684,311,740,824 with Prime Factorization

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

2 x 2 x 171 x 311 x 185 x 206 = 8106911640

Therefore, the lowest common multiple of 684,311,740,824 is 8106911640.

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.

684 x 311 x 740 x 824 = 129710586240

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

311 : 1, 311

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,311,740,824, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

311:311

740:2x 2x 5x 37

824:2x 2x 2x 103

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 = 129710586240/(1x16)

LCM = 129710586240/16

LCM = 8106911640

Thus, we can understand that the LCM of 684,311,740,824 is 8106911640.

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

• LCM of 118, 737, 918, 100
• LCM of 203, 303, 962, 914
• LCM of 708, 281, 746, 456
• LCM of 824, 726, 633, 444
• LCM of 731, 779, 281, 615

1. What is the LCM of 684, 311, 740, 824?

Answer: LCM of 684, 311, 740, 824 is 8106911640.

2. How to calculate the LCM of 684, 311, 740, 824?

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 684, 311, 740, 824.

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}.