Given numbers are 752,305,402,469

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

The LCM of 752,305,402,469 is 322709520.

Find LCM of 752,305,402,469 with Prime Factorization

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

2 x 67 x 376 x 305 x 3 x 7 = 322709520

Therefore, the lowest common multiple of 752,305,402,469 is 322709520.

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.

752 x 305 x 402 x 469 = 43243075680

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.

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

305 : 1, 5, 61, 305

402 : 1, 2, 3, 6, 67, 134, 201, 402

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 752,305,402,469, is 1.

Now, the common factors can be found like this.

752:2x 2x 2x 2x 47

305:5x 61

402:2x 3x 67

469:7x 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 67 = 134

Therefore, the value for common factors is 134.

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 = 43243075680/(1x134)

LCM = 43243075680/134

LCM = 322709520

Thus, we can understand that the LCM of 752,305,402,469 is 322709520.

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

• LCM of 165, 878, 715, 945
• LCM of 636, 608, 141, 919
• LCM of 522, 737, 437, 174
• LCM of 888, 364, 102, 461
• LCM of 174, 570, 683, 200

1. What is the LCM of 752, 305, 402, 469?

Answer: LCM of 752, 305, 402, 469 is 322709520.

2. How to calculate the LCM of 752, 305, 402, 469?

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 752, 305, 402, 469.

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}.