Given numbers are 361,471,208,247

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

The LCM of 361,471,208,247 is 35366448.

Find LCM of 361,471,208,247 with Prime Factorization

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

13 x 19 x 1 x 471 x 16 x 19 = 35366448

Therefore, the lowest common multiple of 361,471,208,247 is 35366448.

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.

361 x 471 x 208 x 247 = 8735512656

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.

361 : 1, 19, 361

471 : 1, 3, 157, 471

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

247 : 1, 13, 19, 247

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,471,208,247, is 1.

Now, the common factors can be found like this.

361:19x 19

471:3x 157

208:2x 2x 2x 2x 13

247:13x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

13x 19 = 247

Therefore, the value for common factors is 247.

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 = 8735512656/(1x247)

LCM = 8735512656/247

LCM = 35366448

Thus, we can understand that the LCM of 361,471,208,247 is 35366448.

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

• LCM of 149, 127, 326, 360
• LCM of 494, 169, 593, 242
• LCM of 722, 980, 648, 693
• LCM of 783, 532, 705, 223
• LCM of 763, 854, 960, 541

1. What is the LCM of 361, 471, 208, 247?

Answer: LCM of 361, 471, 208, 247 is 35366448.

2. How to calculate the LCM of 361, 471, 208, 247?

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 361, 471, 208, 247.

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}.