Given numbers are 678,306,544,532,648

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

The LCM of 678,306,544,532,648 is 662237856.

Find LCM of 678,306,544,532,648 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 17 x 113 x 1 x 4 x 133 x 9 = 662237856

Therefore, the lowest common multiple of 678,306,544,532,648 is 662237856.

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.

678 x 306 x 544 x 532 x 648 = 38907798515712

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,306,544,532,648, is 2.

Now, the common factors can be found like this.

678:2x 3x 113

306:2x 3x 3x 17

544:2x 2x 2x 2x 2x 17

532:2x 2x 7x 19

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 2x 3x 3x 3x 17 = 29376

Therefore, the value for common factors is 29376.

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 = 38907798515712/(2x29376)

LCM = 38907798515712/58752

LCM = 662237856

Thus, we can understand that the LCM of 678,306,544,532,648 is 662237856.

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

• LCM of 195, 351, 251, 766, 834
• LCM of 744, 953, 309, 428, 686
• LCM of 793, 782, 929, 985, 764
• LCM of 637, 819, 276, 265, 552
• LCM of 281, 442, 336, 932, 233

1. What is the LCM of 678, 306, 544, 532, 648?

Answer: LCM of 678, 306, 544, 532, 648 is 662237856.

2. How to calculate the LCM of 678, 306, 544, 532, 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 678, 306, 544, 532, 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}.