Given numbers are 368,667,966,688

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

The LCM of 368,667,966,688 is 9636816.

Find LCM of 368,667,966,688 with Prime Factorization

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

2 x 2 x 2 x 2 x 23 x 1 x 29 x 21 x 43 = 9636816

Therefore, the lowest common multiple of 368,667,966,688 is 9636816.

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.

368 x 667 x 966 x 688 = 163132021248

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

667 : 1, 23, 29, 667

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,667,966,688, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

667:23x 29

966:2x 3x 7x 23

688:2x 2x 2x 2x 43

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 23x 23 = 16928

Therefore, the value for common factors is 16928.

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 = 163132021248/(1x16928)

LCM = 163132021248/16928

LCM = 9636816

Thus, we can understand that the LCM of 368,667,966,688 is 9636816.

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

• LCM of 235, 974, 895, 145
• LCM of 960, 364, 940, 487
• LCM of 925, 179, 607, 308
• LCM of 868, 852, 721, 616
• LCM of 334, 502, 339, 376

1. What is the LCM of 368, 667, 966, 688?

Answer: LCM of 368, 667, 966, 688 is 9636816.

2. How to calculate the LCM of 368, 667, 966, 688?

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 368, 667, 966, 688.

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}.