Given numbers are 737,350,204,208,536

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

The LCM of 737,350,204,208,536 is 1368166800.

Find LCM of 737,350,204,208,536 with Prime Factorization

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

2 x 2 x 2 x 67 x 11 x 175 x 51 x 26 x 1 = 1368166800

Therefore, the lowest common multiple of 737,350,204,208,536 is 1368166800.

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.

737 x 350 x 204 x 208 x 536 = 5866699238400

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.

737 : 1, 11, 67, 737

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

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

536 : 1, 2, 4, 8, 67, 134, 268, 536

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 737,350,204,208,536, is 1.

Now, the common factors can be found like this.

737:11x 67

350:2x 5x 5x 7

204:2x 2x 3x 17

208:2x 2x 2x 2x 13

536:2x 2x 2x 67

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 2x 67 = 4288

Therefore, the value for common factors is 4288.

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 = 5866699238400/(1x4288)

LCM = 5866699238400/4288

LCM = 1368166800

Thus, we can understand that the LCM of 737,350,204,208,536 is 1368166800.

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

• LCM of 708, 408, 705, 360, 486
• LCM of 884, 960, 412, 114, 165
• LCM of 414, 596, 952, 333, 767
• LCM of 387, 127, 773, 202, 768
• LCM of 490, 101, 588, 621, 230

1. What is the LCM of 737, 350, 204, 208, 536?

Answer: LCM of 737, 350, 204, 208, 536 is 1368166800.

2. How to calculate the LCM of 737, 350, 204, 208, 536?

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 737, 350, 204, 208, 536.

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}.