Given numbers are 112,497,142,514,592

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

The LCM of 112,497,142,514,592 is 75615568.

Find LCM of 112,497,142,514,592 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 71 x 1 x 1 x 1 x 257 x 37 = 75615568

Therefore, the lowest common multiple of 112,497,142,514,592 is 75615568.

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.

112 x 497 x 142 x 514 x 592 = 2405179986944

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.

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

497 : 1, 7, 71, 497

142 : 1, 2, 71, 142

514 : 1, 2, 257, 514

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 112,497,142,514,592, is 1.

Now, the common factors can be found like this.

112:2x 2x 2x 2x 7

497:7x 71

142:2x 71

514:2x 257

592:2x 2x 2x 2x 37

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 2x 2x 7x 71 = 31808

Therefore, the value for common factors is 31808.

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 = 2405179986944/(1x31808)

LCM = 2405179986944/31808

LCM = 75615568

Thus, we can understand that the LCM of 112,497,142,514,592 is 75615568.

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

• LCM of 223, 561, 646, 928, 369
• LCM of 393, 405, 734, 237, 184
• LCM of 269, 870, 779, 353, 664
• LCM of 355, 418, 162, 919, 106
• LCM of 914, 228, 425, 485, 789

1. What is the LCM of 112, 497, 142, 514, 592?

Answer: LCM of 112, 497, 142, 514, 592 is 75615568.

2. How to calculate the LCM of 112, 497, 142, 514, 592?

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 112, 497, 142, 514, 592.

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}.