Given numbers are 138,144,804,338,176

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

The LCM of 138,144,804,338,176 is 412519536.

Find LCM of 138,144,804,338,176 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 23 x 3 x 67 x 169 x 11 = 412519536

Therefore, the lowest common multiple of 138,144,804,338,176 is 412519536.

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.

138 x 144 x 804 x 338 x 176 = 950445010944

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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

176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,144,804,338,176, is 2.

Now, the common factors can be found like this.

138:2x 3x 23

144:2x 2x 2x 2x 3x 3

804:2x 2x 3x 67

338:2x 13x 13

176:2x 2x 2x 2x 11

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 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 950445010944/(2x1152)

LCM = 950445010944/2304

LCM = 412519536

Thus, we can understand that the LCM of 138,144,804,338,176 is 412519536.

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

• LCM of 292, 756, 940, 641, 501
• LCM of 746, 150, 179, 761, 185
• LCM of 319, 882, 371, 811, 315
• LCM of 712, 471, 982, 541, 418
• LCM of 498, 745, 600, 315, 605

1. What is the LCM of 138, 144, 804, 338, 176?

Answer: LCM of 138, 144, 804, 338, 176 is 412519536.

2. How to calculate the LCM of 138, 144, 804, 338, 176?

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 138, 144, 804, 338, 176.

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}.