Given numbers are 750,532,204,646

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

The LCM of 750,532,204,646 is 3391500.

Find LCM of 750,532,204,646 with Prime Factorization

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

2 x 2 x 3 x 17 x 19 x 125 x 7 x 1 x 1 = 3391500

Therefore, the lowest common multiple of 750,532,204,646 is 3391500.

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 532 x 204 x 646 = 52581816000

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

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

646 : 1, 2, 17, 19, 34, 38, 323, 646

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,532,204,646, is 2.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

532:2x 2x 7x 19

204:2x 2x 3x 17

646:2x 17x 19

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 17x 19 = 7752

Therefore, the value for common factors is 7752.

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 = 52581816000/(2x7752)

LCM = 52581816000/15504

LCM = 3391500

Thus, we can understand that the LCM of 750,532,204,646 is 3391500.

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

• LCM of 770, 930, 799, 588
• LCM of 116, 926, 885, 565
• LCM of 968, 599, 191, 423
• LCM of 707, 534, 315, 601
• LCM of 606, 442, 522, 689

1. What is the LCM of 750, 532, 204, 646?

Answer: LCM of 750, 532, 204, 646 is 3391500.

2. How to calculate the LCM of 750, 532, 204, 646?

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, 532, 204, 646.

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}.