Given numbers are 750,504,380,402

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

The LCM of 750,504,380,402 is 80199000.

Find LCM of 750,504,380,402 with Prime Factorization

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

2 x 2 x 3 x 5 x 25 x 42 x 19 x 67 = 80199000

Therefore, the lowest common multiple of 750,504,380,402 is 80199000.

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.

750 x 504 x 380 x 402 = 57743280000

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.

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,504,380,402, is 2.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

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

380:2x 2x 5x 19

402:2x 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 3x 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 57743280000/(2x360)

LCM = 57743280000/720

LCM = 80199000

Thus, we can understand that the LCM of 750,504,380,402 is 80199000.

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

• LCM of 647, 209, 218, 348
• LCM of 996, 314, 462, 123
• LCM of 240, 938, 179, 260
• LCM of 907, 731, 208, 705
• LCM of 204, 191, 761, 904

1. What is the LCM of 750, 504, 380, 402?

Answer: LCM of 750, 504, 380, 402 is 80199000.

2. How to calculate the LCM of 750, 504, 380, 402?

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 750, 504, 380, 402.

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}.