Given numbers are 189,708,900,648

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

The LCM of 189,708,900,648 is 6690600.

Find LCM of 189,708,900,648 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 7 x 59 x 25 x 6 = 6690600

Therefore, the lowest common multiple of 189,708,900,648 is 6690600.

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 708 x 900 x 648 = 78039158400

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

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,708,900,648, is 3.

Now, the common factors can be found like this.

189:3x 3x 3x 7

708:2x 2x 3x 59

900:2x 2x 3x 3x 5x 5

648:2x 2x 2x 3x 3x 3x 3

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 3x 3x 3x 3x 3 = 3888

Therefore, the value for common factors is 3888.

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 = 78039158400/(3x3888)

LCM = 78039158400/11664

LCM = 6690600

Thus, we can understand that the LCM of 189,708,900,648 is 6690600.

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

• LCM of 743, 309, 814, 847
• LCM of 300, 356, 816, 804
• LCM of 772, 554, 891, 563
• LCM of 915, 744, 258, 206
• LCM of 360, 182, 562, 826

1. What is the LCM of 189, 708, 900, 648?

Answer: LCM of 189, 708, 900, 648 is 6690600.

2. How to calculate the LCM of 189, 708, 900, 648?

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, 708, 900, 648.

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}.