Given numbers are 189,212,884,364,488

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

The LCM of 189,212,884,364,488 is 1080313416.

Find LCM of 189,212,884,364,488 with Prime Factorization

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

2 x 2 x 7 x 13 x 27 x 53 x 17 x 1 x 122 = 1080313416

Therefore, the lowest common multiple of 189,212,884,364,488 is 1080313416.

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.

189 x 212 x 884 x 364 x 488 = 6291745334784

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

212 : 1, 2, 4, 53, 106, 212

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

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

488 : 1, 2, 4, 8, 61, 122, 244, 488

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,212,884,364,488, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

212:2x 2x 53

884:2x 2x 13x 17

364:2x 2x 7x 13

488:2x 2x 2x 61

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 7x 13 = 5824

Therefore, the value for common factors is 5824.

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 = 6291745334784/(1x5824)

LCM = 6291745334784/5824

LCM = 1080313416

Thus, we can understand that the LCM of 189,212,884,364,488 is 1080313416.

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

• LCM of 558, 612, 567, 986, 100
• LCM of 848, 966, 579, 135, 151
• LCM of 897, 459, 120, 583, 991
• LCM of 539, 746, 909, 803, 111
• LCM of 867, 549, 607, 603, 937

1. What is the LCM of 189, 212, 884, 364, 488?

Answer: LCM of 189, 212, 884, 364, 488 is 1080313416.

2. How to calculate the LCM of 189, 212, 884, 364, 488?

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 189, 212, 884, 364, 488.

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}.