Given numbers are 106,756,334,268

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

The LCM of 106,756,334,268 is 448320852.

Find LCM of 106,756,334,268 with Prime Factorization

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

2 x 2 x 53 x 189 x 167 x 67 = 448320852

Therefore, the lowest common multiple of 106,756,334,268 is 448320852.

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.

106 x 756 x 334 x 268 = 7173133632

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.

106 : 1, 2, 53, 106

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

334 : 1, 2, 167, 334

268 : 1, 2, 4, 67, 134, 268

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 106,756,334,268, is 2.

Now, the common factors can be found like this.

106:2x 53

756:2x 2x 3x 3x 3x 7

334:2x 167

268:2x 2x 67

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 2 = 8

Therefore, the value for common factors is 8.

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 = 7173133632/(2x8)

LCM = 7173133632/16

LCM = 448320852

Thus, we can understand that the LCM of 106,756,334,268 is 448320852.

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

• LCM of 663, 300, 133, 616
• LCM of 890, 959, 231, 881
• LCM of 794, 994, 830, 882
• LCM of 470, 647, 100, 183
• LCM of 877, 302, 525, 963

1. What is the LCM of 106, 756, 334, 268?

Answer: LCM of 106, 756, 334, 268 is 448320852.

2. How to calculate the LCM of 106, 756, 334, 268?

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 106, 756, 334, 268.

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}.