Given numbers are 387,717,984,990,262

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

The LCM of 387,717,984,990,262 is 218583157320.

Find LCM of 387,717,984,990,262 with Prime Factorization

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

2 x 3 x 3 x 43 x 239 x 164 x 55 x 131 = 218583157320

Therefore, the lowest common multiple of 387,717,984,990,262 is 218583157320.

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.

387 x 717 x 984 x 990 x 262 = 70820942971680

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.

387 : 1, 3, 9, 43, 129, 387

717 : 1, 3, 239, 717

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

262 : 1, 2, 131, 262

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,717,984,990,262, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

717:3x 239

984:2x 2x 2x 3x 41

990:2x 3x 3x 5x 11

262:2x 131

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 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 70820942971680/(1x324)

LCM = 70820942971680/324

LCM = 218583157320

Thus, we can understand that the LCM of 387,717,984,990,262 is 218583157320.

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

• LCM of 469, 824, 377, 411, 966
• LCM of 863, 146, 361, 760, 404
• LCM of 342, 761, 915, 466, 794
• LCM of 979, 782, 252, 225, 794
• LCM of 103, 952, 434, 543, 988

1. What is the LCM of 387, 717, 984, 990, 262?

Answer: LCM of 387, 717, 984, 990, 262 is 218583157320.

2. How to calculate the LCM of 387, 717, 984, 990, 262?

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 387, 717, 984, 990, 262.

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}.