Given numbers are 388,492,750,564,210

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

The LCM of 388,492,750,564,210 is 1962649500.

Find LCM of 388,492,750,564,210 with Prime Factorization

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

2 x 2 x 3 x 5 x 97 x 41 x 25 x 47 x 7 = 1962649500

Therefore, the lowest common multiple of 388,492,750,564,210 is 1962649500.

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.

388 x 492 x 750 x 564 x 210 = 16957291680000

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.

388 : 1, 2, 4, 97, 194, 388

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,492,750,564,210, is 2.

Now, the common factors can be found like this.

388:2x 2x 97

492:2x 2x 3x 41

750:2x 3x 5x 5x 5

564:2x 2x 3x 47

210:2x 3x 5x 7

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 3x 3x 3x 5 = 4320

Therefore, the value for common factors is 4320.

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 = 16957291680000/(2x4320)

LCM = 16957291680000/8640

LCM = 1962649500

Thus, we can understand that the LCM of 388,492,750,564,210 is 1962649500.

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

• LCM of 755, 866, 772, 995, 157
• LCM of 505, 362, 234, 983, 270
• LCM of 174, 402, 906, 841, 583
• LCM of 385, 381, 374, 553, 452
• LCM of 692, 226, 809, 575, 584

1. What is the LCM of 388, 492, 750, 564, 210?

Answer: LCM of 388, 492, 750, 564, 210 is 1962649500.

2. How to calculate the LCM of 388, 492, 750, 564, 210?

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 388, 492, 750, 564, 210.

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}.