Given numbers are 464,372,326,144,876

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

The LCM of 464,372,326,144,876 is 1540396944.

Find LCM of 464,372,326,144,876 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 29 x 31 x 163 x 3 x 73 = 1540396944

Therefore, the lowest common multiple of 464,372,326,144,876 is 1540396944.

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.

464 x 372 x 326 x 144 x 876 = 7098149117952

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

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

326 : 1, 2, 163, 326

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

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,372,326,144,876, is 2.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

372:2x 2x 3x 31

326:2x 163

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

876:2x 2x 3x 73

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 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 7098149117952/(2x2304)

LCM = 7098149117952/4608

LCM = 1540396944

Thus, we can understand that the LCM of 464,372,326,144,876 is 1540396944.

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

• LCM of 895, 762, 589, 321, 928
• LCM of 740, 825, 632, 949, 985
• LCM of 539, 876, 622, 826, 960
• LCM of 229, 422, 477, 755, 884
• LCM of 537, 542, 313, 309, 544

1. What is the LCM of 464, 372, 326, 144, 876?

Answer: LCM of 464, 372, 326, 144, 876 is 1540396944.

2. How to calculate the LCM of 464, 372, 326, 144, 876?

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 464, 372, 326, 144, 876.

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}.