Given numbers are 411,138,264,642

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

The LCM of 411,138,264,642 is 89009448.

Find LCM of 411,138,264,642 with Prime Factorization

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

2 x 3 x 137 x 23 x 44 x 107 = 89009448

Therefore, the lowest common multiple of 411,138,264,642 is 89009448.

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.

411 x 138 x 264 x 642 = 9613020384

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.

411 : 1, 3, 137, 411

138 : 1, 2, 3, 6, 23, 46, 69, 138

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,138,264,642, is 3.

Now, the common factors can be found like this.

411:3x 137

138:2x 3x 23

264:2x 2x 2x 3x 11

642:2x 3x 107

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 9613020384/(3x36)

LCM = 9613020384/108

LCM = 89009448

Thus, we can understand that the LCM of 411,138,264,642 is 89009448.

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

• LCM of 285, 484, 921, 148
• LCM of 699, 144, 169, 381
• LCM of 510, 895, 662, 885
• LCM of 559, 739, 476, 463
• LCM of 889, 687, 137, 647

1. What is the LCM of 411, 138, 264, 642?

Answer: LCM of 411, 138, 264, 642 is 89009448.

2. How to calculate the LCM of 411, 138, 264, 642?

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 411, 138, 264, 642.

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}.