Given numbers are 214,344,368,504,603

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

The LCM of 214,344,368,504,603 is 7146862128.

Find LCM of 214,344,368,504,603 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 107 x 43 x 46 x 7 x 67 = 7146862128

Therefore, the lowest common multiple of 214,344,368,504,603 is 7146862128.

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.

214 x 344 x 368 x 504 x 603 = 8233185171456

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.

214 : 1, 2, 107, 214

344 : 1, 2, 4, 8, 43, 86, 172, 344

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

603 : 1, 3, 9, 67, 201, 603

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,344,368,504,603, is 1.

Now, the common factors can be found like this.

214:2x 107

344:2x 2x 2x 43

368:2x 2x 2x 2x 23

504:2x 2x 2x 3x 3x 7

603:3x 3x 67

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 = 8233185171456/(1x1152)

LCM = 8233185171456/1152

LCM = 7146862128

Thus, we can understand that the LCM of 214,344,368,504,603 is 7146862128.

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

• LCM of 799, 169, 677, 290, 405
• LCM of 788, 531, 176, 417, 662
• LCM of 604, 991, 767, 843, 869
• LCM of 792, 954, 624, 280, 862
• LCM of 241, 917, 976, 837, 825

1. What is the LCM of 214, 344, 368, 504, 603?

Answer: LCM of 214, 344, 368, 504, 603 is 7146862128.

2. How to calculate the LCM of 214, 344, 368, 504, 603?

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 214, 344, 368, 504, 603.

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}.