Given numbers are 369,364,368

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

The LCM of 369,364,368 is 12357072.

Find LCM of 369,364,368 with Prime Factorization

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

2 x 2 x 369 x 91 x 92 = 12357072

Therefore, the lowest common multiple of 369,364,368 is 12357072.

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.

369 x 364 x 368 = 49428288

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.

369 : 1, 3, 9, 41, 123, 369

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 369,364,368, is 1.

Now, the common factors can be found like this.

369:3x 3x 41

364:2x 2x 7x 13

368:2x 2x 2x 2x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 49428288/(1x4)

LCM = 49428288/4

LCM = 12357072

Thus, we can understand that the LCM of 369,364,368 is 12357072.

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

• LCM of 801, 713, 322
• LCM of 760, 308, 692
• LCM of 374, 776, 138
• LCM of 516, 121, 848
• LCM of 961, 933, 776

1. What is the LCM of 369, 364, 368?

Answer: LCM of 369, 364, 368 is 12357072.

2. How to calculate the LCM of 369, 364, 368?

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 369, 364, 368.

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}.