Given numbers are 323,376,234,133,744

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

The LCM of 323,376,234,133,744 is 3083443272.

Find LCM of 323,376,234,133,744 with Prime Factorization

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

2 x 2 x 2 x 3 x 19 x 17 x 47 x 39 x 7 x 31 = 3083443272

Therefore, the lowest common multiple of 323,376,234,133,744 is 3083443272.

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.

323 x 376 x 234 x 133 x 744 = 2812100264064

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.

323 : 1, 17, 19, 323

376 : 1, 2, 4, 8, 47, 94, 188, 376

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

133 : 1, 7, 19, 133

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,376,234,133,744, is 1.

Now, the common factors can be found like this.

323:17x 19

376:2x 2x 2x 47

234:2x 3x 3x 13

133:7x 19

744:2x 2x 2x 3x 31

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 19 = 912

Therefore, the value for common factors is 912.

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 = 2812100264064/(1x912)

LCM = 2812100264064/912

LCM = 3083443272

Thus, we can understand that the LCM of 323,376,234,133,744 is 3083443272.

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

• LCM of 315, 796, 710, 144, 151
• LCM of 632, 627, 726, 550, 101
• LCM of 426, 890, 494, 591, 426
• LCM of 842, 303, 660, 903, 452
• LCM of 182, 457, 926, 178, 167

1. What is the LCM of 323, 376, 234, 133, 744?

Answer: LCM of 323, 376, 234, 133, 744 is 3083443272.

2. How to calculate the LCM of 323, 376, 234, 133, 744?

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 323, 376, 234, 133, 744.

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}.