Given numbers are 264,149,116,676

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

The LCM of 264,149,116,676 is 192785736.

Find LCM of 264,149,116,676 with Prime Factorization

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

2 x 2 x 66 x 149 x 29 x 169 = 192785736

Therefore, the lowest common multiple of 264,149,116,676 is 192785736.

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.

264 x 149 x 116 x 676 = 3084571776

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

149 : 1, 149

116 : 1, 2, 4, 29, 58, 116

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,149,116,676, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

149:149

116:2x 2x 29

676:2x 2x 13x 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 2 = 16

Therefore, the value for common factors is 16.

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 = 3084571776/(1x16)

LCM = 3084571776/16

LCM = 192785736

Thus, we can understand that the LCM of 264,149,116,676 is 192785736.

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

• LCM of 217, 870, 247, 318
• LCM of 160, 917, 654, 569
• LCM of 668, 517, 511, 990
• LCM of 308, 655, 430, 963
• LCM of 997, 543, 623, 791

1. What is the LCM of 264, 149, 116, 676?

Answer: LCM of 264, 149, 116, 676 is 192785736.

2. How to calculate the LCM of 264, 149, 116, 676?

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 264, 149, 116, 676.

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}.