Given numbers are 106,100,173,182

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

The LCM of 106,100,173,182 is 83437900.

Find LCM of 106,100,173,182 with Prime Factorization

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

2 x 53 x 50 x 173 x 91 = 83437900

Therefore, the lowest common multiple of 106,100,173,182 is 83437900.

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.

106 x 100 x 173 x 182 = 333751600

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.

106 : 1, 2, 53, 106

100 : 1, 2, 4, 5, 10, 20, 25, 50, 100

173 : 1, 173

182 : 1, 2, 7, 13, 14, 26, 91, 182

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,100,173,182, is 1.

Now, the common factors can be found like this.

106:2x 53

100:2x 2x 5x 5

173:173

182:2x 7x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 333751600/(1x4)

LCM = 333751600/4

LCM = 83437900

Thus, we can understand that the LCM of 106,100,173,182 is 83437900.

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

• LCM of 880, 406, 244, 771
• LCM of 208, 788, 714, 979
• LCM of 993, 595, 568, 813
• LCM of 947, 874, 641, 432
• LCM of 308, 369, 703, 583

1. What is the LCM of 106, 100, 173, 182?

Answer: LCM of 106, 100, 173, 182 is 83437900.

2. How to calculate the LCM of 106, 100, 173, 182?

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 106, 100, 173, 182.

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}.