Given numbers are 172,178,203,838,342

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

The LCM of 172,178,203,838,342 is 222650987076.

Find LCM of 172,178,203,838,342 with Prime Factorization

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

2 x 86 x 89 x 203 x 419 x 171 = 222650987076

Therefore, the lowest common multiple of 172,178,203,838,342 is 222650987076.

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.

172 x 178 x 203 x 838 x 342 = 1781207896608

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.

172 : 1, 2, 4, 43, 86, 172

178 : 1, 2, 89, 178

203 : 1, 7, 29, 203

838 : 1, 2, 419, 838

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,178,203,838,342, is 1.

Now, the common factors can be found like this.

172:2x 2x 43

178:2x 89

203:7x 29

838:2x 419

342:2x 3x 3x 19

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 2 = 8

Therefore, the value for common factors is 8.

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 = 1781207896608/(1x8)

LCM = 1781207896608/8

LCM = 222650987076

Thus, we can understand that the LCM of 172,178,203,838,342 is 222650987076.

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

• LCM of 308, 383, 569, 734, 415
• LCM of 621, 585, 348, 496, 281
• LCM of 458, 848, 287, 183, 316
• LCM of 132, 992, 635, 464, 273
• LCM of 378, 237, 994, 974, 885

1. What is the LCM of 172, 178, 203, 838, 342?

Answer: LCM of 172, 178, 203, 838, 342 is 222650987076.

2. How to calculate the LCM of 172, 178, 203, 838, 342?

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 172, 178, 203, 838, 342.

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}.