Given numbers are 366,390,421,976,648

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

The LCM of 366,390,421,976,648 is 2163367440.

Find LCM of 366,390,421,976,648 with Prime Factorization

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

2 x 2 x 2 x 3 x 61 x 1 x 65 x 421 x 2 x 27 = 2163367440

Therefore, the lowest common multiple of 366,390,421,976,648 is 2163367440.

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.

366 x 390 x 421 x 976 x 648 = 38006039185920

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.

366 : 1, 2, 3, 6, 61, 122, 183, 366

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

421 : 1, 421

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 366,390,421,976,648, is 1.

Now, the common factors can be found like this.

366:2x 3x 61

390:2x 3x 5x 13

421:421

976:2x 2x 2x 2x 61

648:2x 2x 2x 3x 3x 3x 3

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 3x 3x 61 = 17568

Therefore, the value for common factors is 17568.

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 = 38006039185920/(1x17568)

LCM = 38006039185920/17568

LCM = 2163367440

Thus, we can understand that the LCM of 366,390,421,976,648 is 2163367440.

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

• LCM of 413, 625, 558, 930, 911
• LCM of 405, 212, 148, 567, 308
• LCM of 927, 428, 488, 269, 400
• LCM of 378, 354, 433, 320, 151
• LCM of 123, 657, 699, 624, 462

1. What is the LCM of 366, 390, 421, 976, 648?

Answer: LCM of 366, 390, 421, 976, 648 is 2163367440.

2. How to calculate the LCM of 366, 390, 421, 976, 648?

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 366, 390, 421, 976, 648.

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}.