Given numbers are 292,404,212,342

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

The LCM of 292,404,212,342 is 267285996.

Find LCM of 292,404,212,342 with Prime Factorization

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

2 x 2 x 73 x 101 x 53 x 171 = 267285996

Therefore, the lowest common multiple of 292,404,212,342 is 267285996.

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.

292 x 404 x 212 x 342 = 8553151872

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.

292 : 1, 2, 4, 73, 146, 292

404 : 1, 2, 4, 101, 202, 404

212 : 1, 2, 4, 53, 106, 212

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,404,212,342, is 2.

Now, the common factors can be found like this.

292:2x 2x 73

404:2x 2x 101

212:2x 2x 53

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 8553151872/(2x16)

LCM = 8553151872/32

LCM = 267285996

Thus, we can understand that the LCM of 292,404,212,342 is 267285996.

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

• LCM of 156, 860, 985, 404
• LCM of 283, 570, 556, 590
• LCM of 508, 594, 941, 485
• LCM of 661, 211, 231, 243
• LCM of 853, 412, 789, 527

1. What is the LCM of 292, 404, 212, 342?

Answer: LCM of 292, 404, 212, 342 is 267285996.

2. How to calculate the LCM of 292, 404, 212, 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 292, 404, 212, 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}.