Given numbers are 468,594,242,326,516

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

The LCM of 468,594,242,326,516 is 1190716956.

Find LCM of 468,594,242,326,516 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 13 x 3 x 11 x 163 x 43 = 1190716956

Therefore, the lowest common multiple of 468,594,242,326,516 is 1190716956.

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.

468 x 594 x 242 x 326 x 516 = 11316573949824

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.

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

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

242 : 1, 2, 11, 22, 121, 242

326 : 1, 2, 163, 326

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,594,242,326,516, is 2.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

594:2x 3x 3x 3x 11

242:2x 11x 11

326:2x 163

516:2x 2x 3x 43

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 3x 3x 3x 11 = 4752

Therefore, the value for common factors is 4752.

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 = 11316573949824/(2x4752)

LCM = 11316573949824/9504

LCM = 1190716956

Thus, we can understand that the LCM of 468,594,242,326,516 is 1190716956.

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

• LCM of 363, 206, 914, 961, 581
• LCM of 902, 291, 746, 566, 290
• LCM of 483, 976, 120, 318, 643
• LCM of 446, 612, 566, 409, 392
• LCM of 867, 119, 152, 214, 927

1. What is the LCM of 468, 594, 242, 326, 516?

Answer: LCM of 468, 594, 242, 326, 516 is 1190716956.

2. How to calculate the LCM of 468, 594, 242, 326, 516?

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 468, 594, 242, 326, 516.

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}.