Given numbers are 352,756,412,514

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

The LCM of 352,756,412,514 is 1761062688.

Find LCM of 352,756,412,514 with Prime Factorization

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

2 x 2 x 88 x 189 x 103 x 257 = 1761062688

Therefore, the lowest common multiple of 352,756,412,514 is 1761062688.

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.

352 x 756 x 412 x 514 = 56354006016

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

412 : 1, 2, 4, 103, 206, 412

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,756,412,514, is 2.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

756:2x 2x 3x 3x 3x 7

412:2x 2x 103

514:2x 257

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 2 = 16

Therefore, the value for common factors is 16.

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 = 56354006016/(2x16)

LCM = 56354006016/32

LCM = 1761062688

Thus, we can understand that the LCM of 352,756,412,514 is 1761062688.

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

• LCM of 278, 132, 964, 637
• LCM of 216, 532, 699, 222
• LCM of 743, 836, 519, 182
• LCM of 128, 868, 273, 972
• LCM of 433, 195, 344, 231

1. What is the LCM of 352, 756, 412, 514?

Answer: LCM of 352, 756, 412, 514 is 1761062688.

2. How to calculate the LCM of 352, 756, 412, 514?

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 352, 756, 412, 514.

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}.