Given numbers are 401,121,414,372,604

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

The LCM of 401,121,414,372,604 is 188060991228.

Find LCM of 401,121,414,372,604 with Prime Factorization

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

2 x 2 x 3 x 401 x 121 x 69 x 31 x 151 = 188060991228

Therefore, the lowest common multiple of 401,121,414,372,604 is 188060991228.

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.

401 x 121 x 414 x 372 x 604 = 4513463789472

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.

401 : 1, 401

121 : 1, 11, 121

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

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

604 : 1, 2, 4, 151, 302, 604

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 401,121,414,372,604, is 1.

Now, the common factors can be found like this.

401:401

121:11x 11

414:2x 3x 3x 23

372:2x 2x 3x 31

604:2x 2x 151

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 3 = 24

Therefore, the value for common factors is 24.

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 = 4513463789472/(1x24)

LCM = 4513463789472/24

LCM = 188060991228

Thus, we can understand that the LCM of 401,121,414,372,604 is 188060991228.

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

• LCM of 581, 743, 685, 291, 172
• LCM of 535, 527, 753, 396, 388
• LCM of 168, 562, 926, 764, 567
• LCM of 164, 414, 747, 269, 178
• LCM of 624, 271, 291, 358, 678

1. What is the LCM of 401, 121, 414, 372, 604?

Answer: LCM of 401, 121, 414, 372, 604 is 188060991228.

2. How to calculate the LCM of 401, 121, 414, 372, 604?

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 401, 121, 414, 372, 604.

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}.