Given numbers are 310,230,504,753,465

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

The LCM of 310,230,504,753,465 is 450986760.

Find LCM of 310,230,504,753,465 with Prime Factorization

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

2 x 3 x 5 x 31 x 1 x 23 x 84 x 251 x 1 = 450986760

Therefore, the lowest common multiple of 310,230,504,753,465 is 450986760.

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.

310 x 230 x 504 x 753 x 465 = 12582530604000

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

230 : 1, 2, 5, 10, 23, 46, 115, 230

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

753 : 1, 3, 251, 753

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,230,504,753,465, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

230:2x 5x 23

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

753:3x 251

465:3x 5x 31

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 3x 3x 5x 5x 31 = 27900

Therefore, the value for common factors is 27900.

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 = 12582530604000/(1x27900)

LCM = 12582530604000/27900

LCM = 450986760

Thus, we can understand that the LCM of 310,230,504,753,465 is 450986760.

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

• LCM of 219, 685, 516, 783, 889
• LCM of 909, 845, 673, 500, 629
• LCM of 113, 273, 614, 393, 413
• LCM of 966, 144, 569, 686, 496
• LCM of 688, 309, 627, 696, 715

1. What is the LCM of 310, 230, 504, 753, 465?

Answer: LCM of 310, 230, 504, 753, 465 is 450986760.

2. How to calculate the LCM of 310, 230, 504, 753, 465?

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 310, 230, 504, 753, 465.

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}.