Given numbers are 669,702,120,624

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

The LCM of 669,702,120,624 is 6261840.

Find LCM of 669,702,120,624 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 223 x 9 x 5 x 2 = 6261840

Therefore, the lowest common multiple of 669,702,120,624 is 6261840.

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.

669 x 702 x 120 x 624 = 35166493440

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.

669 : 1, 3, 223, 669

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 669,702,120,624, is 3.

Now, the common factors can be found like this.

669:3x 223

702:2x 3x 3x 3x 13

120:2x 2x 2x 3x 5

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

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 = 35166493440/(3x1872)

LCM = 35166493440/5616

LCM = 6261840

Thus, we can understand that the LCM of 669,702,120,624 is 6261840.

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

• LCM of 818, 508, 264, 503
• LCM of 986, 112, 790, 667
• LCM of 840, 164, 907, 392
• LCM of 631, 992, 247, 498
• LCM of 650, 861, 386, 307

1. What is the LCM of 669, 702, 120, 624?

Answer: LCM of 669, 702, 120, 624 is 6261840.

2. How to calculate the LCM of 669, 702, 120, 624?

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 669, 702, 120, 624.

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}.