Given numbers are 596,924,672,342

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

The LCM of 596,924,672,342 is 62780256.

Find LCM of 596,924,672,342 with Prime Factorization

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

2 x 2 x 3 x 7 x 149 x 11 x 8 x 57 = 62780256

Therefore, the lowest common multiple of 596,924,672,342 is 62780256.

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.

596 x 924 x 672 x 342 = 126564996096

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.

596 : 1, 2, 4, 149, 298, 596

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,924,672,342, is 2.

Now, the common factors can be found like this.

596:2x 2x 149

924:2x 2x 3x 7x 11

672:2x 2x 2x 2x 2x 3x 7

342:2x 3x 3x 19

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 3x 7 = 1008

Therefore, the value for common factors is 1008.

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 = 126564996096/(2x1008)

LCM = 126564996096/2016

LCM = 62780256

Thus, we can understand that the LCM of 596,924,672,342 is 62780256.

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

• LCM of 981, 898, 941, 238
• LCM of 231, 981, 468, 420
• LCM of 285, 315, 186, 293
• LCM of 347, 629, 417, 404
• LCM of 690, 496, 173, 357

1. What is the LCM of 596, 924, 672, 342?

Answer: LCM of 596, 924, 672, 342 is 62780256.

2. How to calculate the LCM of 596, 924, 672, 342?

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 596, 924, 672, 342.

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}.