Given numbers are 364,368,218,920,624

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

The LCM of 364,368,218,920,624 is 54752880.

Find LCM of 364,368,218,920,624 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 23 x 7 x 1 x 109 x 5 x 3 = 54752880

Therefore, the lowest common multiple of 364,368,218,920,624 is 54752880.

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.

364 x 368 x 218 x 920 x 624 = 16764017786880

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.

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

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

218 : 1, 2, 109, 218

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,368,218,920,624, is 2.

Now, the common factors can be found like this.

364:2x 2x 7x 13

368:2x 2x 2x 2x 23

218:2x 109

920:2x 2x 2x 5x 23

624:2x 2x 2x 2x 3x 13

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 2x 2x 2x 13x 23 = 153088

Therefore, the value for common factors is 153088.

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 = 16764017786880/(2x153088)

LCM = 16764017786880/306176

LCM = 54752880

Thus, we can understand that the LCM of 364,368,218,920,624 is 54752880.

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

• LCM of 927, 945, 505, 887, 828
• LCM of 208, 862, 332, 298, 830
• LCM of 442, 521, 349, 778, 123
• LCM of 563, 796, 429, 948, 754
• LCM of 195, 888, 784, 741, 774

1. What is the LCM of 364, 368, 218, 920, 624?

Answer: LCM of 364, 368, 218, 920, 624 is 54752880.

2. How to calculate the LCM of 364, 368, 218, 920, 624?

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 364, 368, 218, 920, 624.

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}.