Given numbers are 398,202,528,468,188

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

The LCM of 398,202,528,468,188 is 19452294576.

Find LCM of 398,202,528,468,188 with Prime Factorization

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

2 x 2 x 3 x 199 x 101 x 44 x 39 x 47 = 19452294576

Therefore, the lowest common multiple of 398,202,528,468,188 is 19452294576.

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.

398 x 202 x 528 x 468 x 188 = 3734840558592

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.

398 : 1, 2, 199, 398

202 : 1, 2, 101, 202

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

188 : 1, 2, 4, 47, 94, 188

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,202,528,468,188, is 2.

Now, the common factors can be found like this.

398:2x 199

202:2x 101

528:2x 2x 2x 2x 3x 11

468:2x 2x 3x 3x 13

188:2x 2x 47

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 3 = 96

Therefore, the value for common factors is 96.

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 = 3734840558592/(2x96)

LCM = 3734840558592/192

LCM = 19452294576

Thus, we can understand that the LCM of 398,202,528,468,188 is 19452294576.

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

• LCM of 908, 191, 157, 638, 706
• LCM of 563, 820, 199, 992, 415
• LCM of 690, 258, 775, 162, 815
• LCM of 434, 635, 867, 116, 758
• LCM of 753, 449, 523, 335, 759

1. What is the LCM of 398, 202, 528, 468, 188?

Answer: LCM of 398, 202, 528, 468, 188 is 19452294576.

2. How to calculate the LCM of 398, 202, 528, 468, 188?

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 398, 202, 528, 468, 188.

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}.