Given numbers are 264,227,414,624

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

The LCM of 264,227,414,624 is 107510832.

Find LCM of 264,227,414,624 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 227 x 69 x 26 = 107510832

Therefore, the lowest common multiple of 264,227,414,624 is 107510832.

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 227 x 414 x 624 = 15481559808

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

227 : 1, 227

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,227,414,624, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

227:227

414:2x 3x 3x 23

624:2x 2x 2x 2x 3x 13

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 3 = 144

Therefore, the value for common factors is 144.

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 = 15481559808/(1x144)

LCM = 15481559808/144

LCM = 107510832

Thus, we can understand that the LCM of 264,227,414,624 is 107510832.

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

• LCM of 804, 264, 388, 459
• LCM of 691, 671, 746, 874
• LCM of 832, 392, 420, 632
• LCM of 141, 167, 314, 928
• LCM of 974, 323, 537, 995

1. What is the LCM of 264, 227, 414, 624?

Answer: LCM of 264, 227, 414, 624 is 107510832.

2. How to calculate the LCM of 264, 227, 414, 624?

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, 227, 414, 624.

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}.