Given numbers are 180,676,624,678

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

The LCM of 180,676,624,678 is 13749840.

Find LCM of 180,676,624,678 with Prime Factorization

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

2 x 2 x 3 x 13 x 15 x 13 x 4 x 113 = 13749840

Therefore, the lowest common multiple of 180,676,624,678 is 13749840.

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.

180 x 676 x 624 x 678 = 51479400960

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.

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,676,624,678, is 2.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

676:2x 2x 13x 13

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

678:2x 3x 113

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 3x 13 = 1872

Therefore, the value for common factors is 1872.

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 = 51479400960/(2x1872)

LCM = 51479400960/3744

LCM = 13749840

Thus, we can understand that the LCM of 180,676,624,678 is 13749840.

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

• LCM of 809, 303, 605, 773
• LCM of 587, 309, 477, 788
• LCM of 273, 613, 943, 455
• LCM of 209, 321, 345, 944
• LCM of 699, 427, 412, 863

1. What is the LCM of 180, 676, 624, 678?

Answer: LCM of 180, 676, 624, 678 is 13749840.

2. How to calculate the LCM of 180, 676, 624, 678?

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 180, 676, 624, 678.

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}.