Given numbers are 381,648,201,337,610

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

The LCM of 381,648,201,337,610 is 566739222120.

Find LCM of 381,648,201,337,610 with Prime Factorization

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

2 x 3 x 127 x 108 x 67 x 337 x 305 = 566739222120

Therefore, the lowest common multiple of 381,648,201,337,610 is 566739222120.

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.

381 x 648 x 201 x 337 x 610 = 10201305998160

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.

381 : 1, 3, 127, 381

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

201 : 1, 3, 67, 201

337 : 1, 337

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,648,201,337,610, is 1.

Now, the common factors can be found like this.

381:3x 127

648:2x 2x 2x 3x 3x 3x 3

201:3x 67

337:337

610:2x 5x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 10201305998160/(1x18)

LCM = 10201305998160/18

LCM = 566739222120

Thus, we can understand that the LCM of 381,648,201,337,610 is 566739222120.

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

• LCM of 144, 869, 628, 411, 302
• LCM of 397, 573, 863, 818, 398
• LCM of 111, 370, 512, 211, 877
• LCM of 713, 817, 936, 477, 944
• LCM of 917, 744, 693, 914, 679

1. What is the LCM of 381, 648, 201, 337, 610?

Answer: LCM of 381, 648, 201, 337, 610 is 566739222120.

2. How to calculate the LCM of 381, 648, 201, 337, 610?

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 381, 648, 201, 337, 610.

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}.