Given numbers are 208,239,840,434

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

The LCM of 208,239,840,434 is 161812560.

Find LCM of 208,239,840,434 with Prime Factorization

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

2 x 2 x 2 x 7 x 26 x 239 x 15 x 31 = 161812560

Therefore, the lowest common multiple of 208,239,840,434 is 161812560.

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.

208 x 239 x 840 x 434 = 18123006720

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.

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

239 : 1, 239

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

434 : 1, 2, 7, 14, 31, 62, 217, 434

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,239,840,434, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

239:239

840:2x 2x 2x 3x 5x 7

434:2x 7x 31

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 7 = 112

Therefore, the value for common factors is 112.

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 = 18123006720/(1x112)

LCM = 18123006720/112

LCM = 161812560

Thus, we can understand that the LCM of 208,239,840,434 is 161812560.

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

• LCM of 912, 148, 534, 238
• LCM of 110, 536, 779, 953
• LCM of 791, 549, 951, 870
• LCM of 332, 356, 909, 636
• LCM of 629, 853, 580, 293

1. What is the LCM of 208, 239, 840, 434?

Answer: LCM of 208, 239, 840, 434 is 161812560.

2. How to calculate the LCM of 208, 239, 840, 434?

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 208, 239, 840, 434.

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}.