Given numbers are 211,201,488,728,375

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

The LCM of 211,201,488,728,375 is 235423461000.

Find LCM of 211,201,488,728,375 with Prime Factorization

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

2 x 2 x 2 x 3 x 211 x 67 x 61 x 91 x 125 = 235423461000

Therefore, the lowest common multiple of 211,201,488,728,375 is 235423461000.

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.

211 x 201 x 488 x 728 x 375 = 5650163064000

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.

211 : 1, 211

201 : 1, 3, 67, 201

488 : 1, 2, 4, 8, 61, 122, 244, 488

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

375 : 1, 3, 5, 15, 25, 75, 125, 375

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,201,488,728,375, is 1.

Now, the common factors can be found like this.

211:211

201:3x 67

488:2x 2x 2x 61

728:2x 2x 2x 7x 13

375:3x 5x 5x 5

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 3 = 24

Therefore, the value for common factors is 24.

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 = 5650163064000/(1x24)

LCM = 5650163064000/24

LCM = 235423461000

Thus, we can understand that the LCM of 211,201,488,728,375 is 235423461000.

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

• LCM of 849, 623, 707, 744, 873
• LCM of 213, 345, 560, 611, 567
• LCM of 650, 760, 250, 744, 651
• LCM of 543, 425, 694, 515, 226
• LCM of 265, 380, 528, 735, 243

1. What is the LCM of 211, 201, 488, 728, 375?

Answer: LCM of 211, 201, 488, 728, 375 is 235423461000.

2. How to calculate the LCM of 211, 201, 488, 728, 375?

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 211, 201, 488, 728, 375.

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}.