Given numbers are 218,163,304,720,596

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

The LCM of 218,163,304,720,596 is 36214831440.

Find LCM of 218,163,304,720,596 with Prime Factorization

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

2 x 2 x 2 x 2 x 109 x 163 x 19 x 45 x 149 = 36214831440

Therefore, the lowest common multiple of 218,163,304,720,596 is 36214831440.

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.

218 x 163 x 304 x 720 x 596 = 4635498424320

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.

218 : 1, 2, 109, 218

163 : 1, 163

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,163,304,720,596, is 1.

Now, the common factors can be found like this.

218:2x 109

163:163

304:2x 2x 2x 2x 19

720:2x 2x 2x 2x 3x 3x 5

596:2x 2x 149

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 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 4635498424320/(1x128)

LCM = 4635498424320/128

LCM = 36214831440

Thus, we can understand that the LCM of 218,163,304,720,596 is 36214831440.

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

• LCM of 919, 681, 748, 698, 591
• LCM of 298, 578, 214, 791, 621
• LCM of 413, 431, 576, 760, 911
• LCM of 119, 222, 653, 672, 273
• LCM of 175, 913, 161, 297, 365

1. What is the LCM of 218, 163, 304, 720, 596?

Answer: LCM of 218, 163, 304, 720, 596 is 36214831440.

2. How to calculate the LCM of 218, 163, 304, 720, 596?

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 218, 163, 304, 720, 596.

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}.