Given numbers are 345,412,802,694

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

The LCM of 345,412,802,694 is 19778354580.

Find LCM of 345,412,802,694 with Prime Factorization

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

2 x 345 x 206 x 401 x 347 = 19778354580

Therefore, the lowest common multiple of 345,412,802,694 is 19778354580.

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.

345 x 412 x 802 x 694 = 79113418320

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.

345 : 1, 3, 5, 15, 23, 69, 115, 345

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

802 : 1, 2, 401, 802

694 : 1, 2, 347, 694

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,412,802,694, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

412:2x 2x 103

802:2x 401

694:2x 347

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 79113418320/(1x4)

LCM = 79113418320/4

LCM = 19778354580

Thus, we can understand that the LCM of 345,412,802,694 is 19778354580.

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

• LCM of 160, 804, 839, 393
• LCM of 676, 689, 588, 434
• LCM of 830, 346, 790, 552
• LCM of 272, 456, 470, 698
• LCM of 126, 564, 554, 108

1. What is the LCM of 345, 412, 802, 694?

Answer: LCM of 345, 412, 802, 694 is 19778354580.

2. How to calculate the LCM of 345, 412, 802, 694?

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 345, 412, 802, 694.

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}.