Given numbers are 736,432,994,514

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

The LCM of 736,432,994,514 is 2538230688.

Find LCM of 736,432,994,514 with Prime Factorization

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

2 x 2 x 2 x 2 x 46 x 27 x 497 x 257 = 2538230688

Therefore, the lowest common multiple of 736,432,994,514 is 2538230688.

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.

736 x 432 x 994 x 514 = 162446764032

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

994 : 1, 2, 7, 14, 71, 142, 497, 994

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,432,994,514, is 2.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

432:2x 2x 2x 2x 3x 3x 3

994:2x 7x 71

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 2x 2 = 32

Therefore, the value for common factors is 32.

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 = 162446764032/(2x32)

LCM = 162446764032/64

LCM = 2538230688

Thus, we can understand that the LCM of 736,432,994,514 is 2538230688.

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

• LCM of 590, 810, 641, 954
• LCM of 225, 437, 209, 572
• LCM of 432, 880, 987, 139
• LCM of 590, 924, 388, 709
• LCM of 218, 262, 531, 531

1. What is the LCM of 736, 432, 994, 514?

Answer: LCM of 736, 432, 994, 514 is 2538230688.

2. How to calculate the LCM of 736, 432, 994, 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 736, 432, 994, 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}.