Given numbers are 704,435,514

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

The LCM of 704,435,514 is 78703680.

Find LCM of 704,435,514 with Prime Factorization

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

2 x 352 x 435 x 257 = 78703680

Therefore, the lowest common multiple of 704,435,514 is 78703680.

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.

704 x 435 x 514 = 157407360

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.

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

435 : 1, 3, 5, 15, 29, 87, 145, 435

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,435,514, is 1.

Now, the common factors can be found like this.

704:2x 2x 2x 2x 2x 2x 11

435:3x 5x 29

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 157407360/(1x2)

LCM = 157407360/2

LCM = 78703680

Thus, we can understand that the LCM of 704,435,514 is 78703680.

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

• LCM of 475, 880, 984
• LCM of 756, 888, 748
• LCM of 162, 849, 733
• LCM of 823, 234, 452
• LCM of 980, 457, 814

1. What is the LCM of 704, 435, 514?

Answer: LCM of 704, 435, 514 is 78703680.

2. How to calculate the LCM of 704, 435, 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 704, 435, 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}.