Given numbers are 684,892,206,984,924

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

The LCM of 684,892,206,984,924 is 99197965944.

Find LCM of 684,892,206,984,924 with Prime Factorization

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

2 x 2 x 3 x 57 x 223 x 103 x 82 x 77 = 99197965944

Therefore, the lowest common multiple of 684,892,206,984,924 is 99197965944.

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 892 x 206 x 984 x 924 = 114276056767488

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

892 : 1, 2, 4, 223, 446, 892

206 : 1, 2, 103, 206

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,892,206,984,924, is 2.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

892:2x 2x 223

206:2x 103

984:2x 2x 2x 3x 41

924:2x 2x 3x 7x 11

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 3x 3 = 576

Therefore, the value for common factors is 576.

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 = 114276056767488/(2x576)

LCM = 114276056767488/1152

LCM = 99197965944

Thus, we can understand that the LCM of 684,892,206,984,924 is 99197965944.

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

• LCM of 704, 759, 738, 847, 228
• LCM of 391, 913, 976, 695, 767
• LCM of 603, 196, 675, 152, 399
• LCM of 717, 872, 945, 606, 531
• LCM of 615, 236, 994, 340, 987

1. What is the LCM of 684, 892, 206, 984, 924?

Answer: LCM of 684, 892, 206, 984, 924 is 99197965944.

2. How to calculate the LCM of 684, 892, 206, 984, 924?

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, 892, 206, 984, 924.

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}.