Given numbers are 364,248,208,293

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

The LCM of 364,248,208,293 is 13224848.

Find LCM of 364,248,208,293 with Prime Factorization

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

2 x 2 x 2 x 13 x 7 x 31 x 2 x 293 = 13224848

Therefore, the lowest common multiple of 364,248,208,293 is 13224848.

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.

364 x 248 x 208 x 293 = 5501536768

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.

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

248 : 1, 2, 4, 8, 31, 62, 124, 248

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

293 : 1, 293

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,248,208,293, is 1.

Now, the common factors can be found like this.

364:2x 2x 7x 13

248:2x 2x 2x 31

208:2x 2x 2x 2x 13

293:293

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 2x 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 5501536768/(1x416)

LCM = 5501536768/416

LCM = 13224848

Thus, we can understand that the LCM of 364,248,208,293 is 13224848.

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

• LCM of 125, 149, 466, 173
• LCM of 107, 899, 113, 115
• LCM of 813, 111, 356, 105
• LCM of 693, 203, 111, 361
• LCM of 336, 488, 875, 803

1. What is the LCM of 364, 248, 208, 293?

Answer: LCM of 364, 248, 208, 293 is 13224848.

2. How to calculate the LCM of 364, 248, 208, 293?

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 364, 248, 208, 293.

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}.