Given numbers are 344,501,738,966

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

The LCM of 344,501,738,966 is 3412928232.

Find LCM of 344,501,738,966 with Prime Factorization

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

2 x 3 x 172 x 167 x 123 x 161 = 3412928232

Therefore, the lowest common multiple of 344,501,738,966 is 3412928232.

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.

344 x 501 x 738 x 966 = 122865416352

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.

344 : 1, 2, 4, 8, 43, 86, 172, 344

501 : 1, 3, 167, 501

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 344,501,738,966, is 1.

Now, the common factors can be found like this.

344:2x 2x 2x 43

501:3x 167

738:2x 3x 3x 41

966:2x 3x 7x 23

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 122865416352/(1x36)

LCM = 122865416352/36

LCM = 3412928232

Thus, we can understand that the LCM of 344,501,738,966 is 3412928232.

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

• LCM of 895, 144, 983, 716
• LCM of 491, 207, 364, 561
• LCM of 921, 218, 461, 782
• LCM of 678, 477, 499, 819
• LCM of 196, 286, 933, 261

1. What is the LCM of 344, 501, 738, 966?

Answer: LCM of 344, 501, 738, 966 is 3412928232.

2. How to calculate the LCM of 344, 501, 738, 966?

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 344, 501, 738, 966.

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}.