Given numbers are 163,724,208,112,338

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

The LCM of 163,724,208,112,338 is 558432784.

Find LCM of 163,724,208,112,338 with Prime Factorization

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

2 x 2 x 2 x 2 x 13 x 163 x 181 x 1 x 7 x 13 = 558432784

Therefore, the lowest common multiple of 163,724,208,112,338 is 558432784.

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.

163 x 724 x 208 x 112 x 338 = 929232152576

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.

163 : 1, 163

724 : 1, 2, 4, 181, 362, 724

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

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,724,208,112,338, is 1.

Now, the common factors can be found like this.

163:163

724:2x 2x 181

208:2x 2x 2x 2x 13

112:2x 2x 2x 2x 7

338:2x 13x 13

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 2x 13 = 1664

Therefore, the value for common factors is 1664.

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 = 929232152576/(1x1664)

LCM = 929232152576/1664

LCM = 558432784

Thus, we can understand that the LCM of 163,724,208,112,338 is 558432784.

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

• LCM of 993, 341, 857, 500, 114
• LCM of 845, 986, 516, 802, 648
• LCM of 895, 887, 181, 902, 780
• LCM of 938, 748, 745, 118, 163
• LCM of 868, 888, 180, 640, 532

1. What is the LCM of 163, 724, 208, 112, 338?

Answer: LCM of 163, 724, 208, 112, 338 is 558432784.

2. How to calculate the LCM of 163, 724, 208, 112, 338?

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 163, 724, 208, 112, 338.

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}.