Given numbers are 264,642,159,343

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

The LCM of 264,642,159,343 is 513520392.

Find LCM of 264,642,159,343 with Prime Factorization

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

2 x 3 x 44 x 107 x 53 x 343 = 513520392

Therefore, the lowest common multiple of 264,642,159,343 is 513520392.

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 642 x 159 x 343 = 9243367056

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

159 : 1, 3, 53, 159

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,642,159,343, is 1.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

642:2x 3x 107

159:3x 53

343:7x 7x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 9243367056/(1x18)

LCM = 9243367056/18

LCM = 513520392

Thus, we can understand that the LCM of 264,642,159,343 is 513520392.

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

• LCM of 122, 640, 436, 974
• LCM of 511, 773, 515, 275
• LCM of 493, 401, 150, 970
• LCM of 316, 760, 922, 801
• LCM of 465, 807, 315, 255

1. What is the LCM of 264, 642, 159, 343?

Answer: LCM of 264, 642, 159, 343 is 513520392.

2. How to calculate the LCM of 264, 642, 159, 343?

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, 642, 159, 343.

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}.