Given numbers are 101,205,128,660

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

The LCM of 101,205,128,660 is 87457920.

Find LCM of 101,205,128,660 with Prime Factorization

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

2 x 2 x 5 x 101 x 41 x 32 x 33 = 87457920

Therefore, the lowest common multiple of 101,205,128,660 is 87457920.

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.

101 x 205 x 128 x 660 = 1749158400

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.

101 : 1, 101

205 : 1, 5, 41, 205

128 : 1, 2, 4, 8, 16, 32, 64, 128

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,205,128,660, is 1.

Now, the common factors can be found like this.

101:101

205:5x 41

128:2x 2x 2x 2x 2x 2x 2

660:2x 2x 3x 5x 11

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 5 = 20

Therefore, the value for common factors is 20.

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 = 1749158400/(1x20)

LCM = 1749158400/20

LCM = 87457920

Thus, we can understand that the LCM of 101,205,128,660 is 87457920.

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

• LCM of 801, 414, 360, 987
• LCM of 503, 645, 138, 998
• LCM of 660, 343, 540, 667
• LCM of 684, 862, 700, 245
• LCM of 725, 115, 942, 457

1. What is the LCM of 101, 205, 128, 660?

Answer: LCM of 101, 205, 128, 660 is 87457920.

2. How to calculate the LCM of 101, 205, 128, 660?

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 101, 205, 128, 660.

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}.