Given numbers are 110,364,368,552,152

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

The LCM of 110,364,368,552,152 is 104984880.

Find LCM of 110,364,368,552,152 with Prime Factorization

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

2 x 2 x 2 x 23 x 55 x 91 x 2 x 3 x 19 = 104984880

Therefore, the lowest common multiple of 110,364,368,552,152 is 104984880.

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.

110 x 364 x 368 x 552 x 152 = 1236301946880

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.

110 : 1, 2, 5, 10, 11, 22, 55, 110

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

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

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

152 : 1, 2, 4, 8, 19, 38, 76, 152

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 110,364,368,552,152, is 2.

Now, the common factors can be found like this.

110:2x 5x 11

364:2x 2x 7x 13

368:2x 2x 2x 2x 23

552:2x 2x 2x 3x 23

152:2x 2x 2x 19

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 23 = 5888

Therefore, the value for common factors is 5888.

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 = 1236301946880/(2x5888)

LCM = 1236301946880/11776

LCM = 104984880

Thus, we can understand that the LCM of 110,364,368,552,152 is 104984880.

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

• LCM of 769, 398, 964, 410, 344
• LCM of 723, 334, 805, 352, 558
• LCM of 950, 395, 442, 900, 859
• LCM of 161, 117, 652, 109, 942
• LCM of 931, 870, 781, 507, 351

1. What is the LCM of 110, 364, 368, 552, 152?

Answer: LCM of 110, 364, 368, 552, 152 is 104984880.

2. How to calculate the LCM of 110, 364, 368, 552, 152?

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 110, 364, 368, 552, 152.

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}.