Given numbers are 704,209,326,756

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

The LCM of 704,209,326,756 is 412074432.

Find LCM of 704,209,326,756 with Prime Factorization

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

2 x 2 x 11 x 16 x 19 x 163 x 189 = 412074432

Therefore, the lowest common multiple of 704,209,326,756 is 412074432.

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 209 x 326 x 756 = 36262550016

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

209 : 1, 11, 19, 209

326 : 1, 2, 163, 326

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,209,326,756, is 1.

Now, the common factors can be found like this.

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

209:11x 19

326:2x 163

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

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 11 = 88

Therefore, the value for common factors is 88.

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 = 36262550016/(1x88)

LCM = 36262550016/88

LCM = 412074432

Thus, we can understand that the LCM of 704,209,326,756 is 412074432.

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

• LCM of 301, 371, 444, 689
• LCM of 526, 680, 159, 866
• LCM of 216, 475, 127, 836
• LCM of 113, 574, 617, 620
• LCM of 496, 876, 979, 421

1. What is the LCM of 704, 209, 326, 756?

Answer: LCM of 704, 209, 326, 756 is 412074432.

2. How to calculate the LCM of 704, 209, 326, 756?

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, 209, 326, 756.

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}.