Given numbers are 368,379,133,148,414

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

The LCM of 368,379,133,148,414 is 6177075408.

Find LCM of 368,379,133,148,414 with Prime Factorization

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

2 x 2 x 23 x 4 x 379 x 133 x 37 x 9 = 6177075408

Therefore, the lowest common multiple of 368,379,133,148,414 is 6177075408.

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.

368 x 379 x 133 x 148 x 414 = 1136581875072

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

379 : 1, 379

133 : 1, 7, 19, 133

148 : 1, 2, 4, 37, 74, 148

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,379,133,148,414, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

379:379

133:7x 19

148:2x 2x 37

414:2x 3x 3x 23

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 23 = 184

Therefore, the value for common factors is 184.

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 = 1136581875072/(1x184)

LCM = 1136581875072/184

LCM = 6177075408

Thus, we can understand that the LCM of 368,379,133,148,414 is 6177075408.

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

• LCM of 412, 348, 151, 984, 158
• LCM of 998, 447, 140, 212, 382
• LCM of 424, 698, 320, 758, 170
• LCM of 663, 119, 268, 769, 948
• LCM of 432, 783, 231, 868, 441

1. What is the LCM of 368, 379, 133, 148, 414?

Answer: LCM of 368, 379, 133, 148, 414 is 6177075408.

2. How to calculate the LCM of 368, 379, 133, 148, 414?

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 368, 379, 133, 148, 414.

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}.