Given numbers are 264,458,217,623

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

The LCM of 264,458,217,623 is 1167586728.

Find LCM of 264,458,217,623 with Prime Factorization

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

2 x 7 x 132 x 229 x 31 x 89 = 1167586728

Therefore, the lowest common multiple of 264,458,217,623 is 1167586728.

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 458 x 217 x 623 = 16346214192

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

458 : 1, 2, 229, 458

217 : 1, 7, 31, 217

623 : 1, 7, 89, 623

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,458,217,623, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

458:2x 229

217:7x 31

623:7x 89

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 16346214192/(1x14)

LCM = 16346214192/14

LCM = 1167586728

Thus, we can understand that the LCM of 264,458,217,623 is 1167586728.

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

• LCM of 600, 504, 604, 156
• LCM of 974, 224, 262, 449
• LCM of 469, 940, 481, 209
• LCM of 226, 355, 840, 894
• LCM of 721, 587, 818, 253

1. What is the LCM of 264, 458, 217, 623?

Answer: LCM of 264, 458, 217, 623 is 1167586728.

2. How to calculate the LCM of 264, 458, 217, 623?

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, 458, 217, 623.

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}.