Given numbers are 264,242,183,948,561

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

The LCM of 264,242,183,948,561 is 237904392.

Find LCM of 264,242,183,948,561 with Prime Factorization

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

2 x 2 x 3 x 11 x 2 x 11 x 61 x 79 x 17 = 237904392

Therefore, the lowest common multiple of 264,242,183,948,561 is 237904392.

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.

264 x 242 x 183 x 948 x 561 = 6217869189312

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.

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

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

183 : 1, 3, 61, 183

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,242,183,948,561, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

242:2x 11x 11

183:3x 61

948:2x 2x 3x 79

561:3x 11x 17

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 3x 3x 3x 11x 11 = 26136

Therefore, the value for common factors is 26136.

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 = 6217869189312/(1x26136)

LCM = 6217869189312/26136

LCM = 237904392

Thus, we can understand that the LCM of 264,242,183,948,561 is 237904392.

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

• LCM of 789, 733, 841, 886, 795
• LCM of 667, 627, 553, 517, 914
• LCM of 512, 537, 500, 291, 812
• LCM of 661, 648, 780, 779, 850
• LCM of 939, 268, 256, 786, 544

1. What is the LCM of 264, 242, 183, 948, 561?

Answer: LCM of 264, 242, 183, 948, 561 is 237904392.

2. How to calculate the LCM of 264, 242, 183, 948, 561?

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 264, 242, 183, 948, 561.

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}.