Given numbers are 420,676,668,936

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

The LCM of 420,676,668,936 is 71121960.

Find LCM of 420,676,668,936 with Prime Factorization

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

2 x 2 x 3 x 13 x 35 x 13 x 167 x 6 = 71121960

Therefore, the lowest common multiple of 420,676,668,936 is 71121960.

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.

420 x 676 x 668 x 936 = 177520412160

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

668 : 1, 2, 4, 167, 334, 668

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,676,668,936, is 4.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

676:2x 2x 13x 13

668:2x 2x 167

936:2x 2x 2x 3x 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 13 = 624

Therefore, the value for common factors is 624.

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 = 177520412160/(4x624)

LCM = 177520412160/2496

LCM = 71121960

Thus, we can understand that the LCM of 420,676,668,936 is 71121960.

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

• LCM of 821, 385, 473, 334
• LCM of 405, 500, 152, 657
• LCM of 701, 901, 499, 401
• LCM of 376, 522, 142, 859
• LCM of 923, 675, 207, 973

1. What is the LCM of 420, 676, 668, 936?

Answer: LCM of 420, 676, 668, 936 is 71121960.

2. How to calculate the LCM of 420, 676, 668, 936?

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 420, 676, 668, 936.

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}.