Given numbers are 261,381,411,402,564

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

The LCM of 261,381,411,402,564 is 57200186844.

Find LCM of 261,381,411,402,564 with Prime Factorization

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

2 x 3 x 87 x 127 x 137 x 67 x 94 = 57200186844

Therefore, the lowest common multiple of 261,381,411,402,564 is 57200186844.

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.

261 x 381 x 411 x 402 x 564 = 9266430268728

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.

261 : 1, 3, 9, 29, 87, 261

381 : 1, 3, 127, 381

411 : 1, 3, 137, 411

402 : 1, 2, 3, 6, 67, 134, 201, 402

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,381,411,402,564, is 3.

Now, the common factors can be found like this.

261:3x 3x 29

381:3x 127

411:3x 137

402:2x 3x 67

564:2x 2x 3x 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 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 9266430268728/(3x54)

LCM = 9266430268728/162

LCM = 57200186844

Thus, we can understand that the LCM of 261,381,411,402,564 is 57200186844.

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

• LCM of 637, 785, 663, 379, 579
• LCM of 488, 810, 694, 364, 649
• LCM of 405, 844, 698, 995, 258
• LCM of 818, 376, 397, 604, 144
• LCM of 349, 190, 541, 376, 139

1. What is the LCM of 261, 381, 411, 402, 564?

Answer: LCM of 261, 381, 411, 402, 564 is 57200186844.

2. How to calculate the LCM of 261, 381, 411, 402, 564?

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 261, 381, 411, 402, 564.

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}.