Given numbers are 188,260,214,169

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

The LCM of 188,260,214,169 is 16998020.

Find LCM of 188,260,214,169 with Prime Factorization

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

2 x 2 x 13 x 47 x 5 x 107 x 13 = 16998020

Therefore, the lowest common multiple of 188,260,214,169 is 16998020.

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.

188 x 260 x 214 x 169 = 1767794080

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.

188 : 1, 2, 4, 47, 94, 188

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

214 : 1, 2, 107, 214

169 : 1, 13, 169

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,260,214,169, is 1.

Now, the common factors can be found like this.

188:2x 2x 47

260:2x 2x 5x 13

214:2x 107

169:13x 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 2x 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 1767794080/(1x104)

LCM = 1767794080/104

LCM = 16998020

Thus, we can understand that the LCM of 188,260,214,169 is 16998020.

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

• LCM of 227, 244, 467, 268
• LCM of 498, 576, 359, 450
• LCM of 867, 448, 761, 162
• LCM of 365, 620, 507, 240
• LCM of 379, 940, 862, 158

1. What is the LCM of 188, 260, 214, 169?

Answer: LCM of 188, 260, 214, 169 is 16998020.

2. How to calculate the LCM of 188, 260, 214, 169?

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 188, 260, 214, 169.

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}.