Given numbers are 829,706,493,493

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

The LCM of 829,706,493,493 is 288540082.

Find LCM of 829,706,493,493 with Prime Factorization

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

17 x 29 x 829 x 706 x 1 x 1 = 288540082

Therefore, the lowest common multiple of 829,706,493,493 is 288540082.

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.

829 x 706 x 493 x 493 = 142250260426

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.

829 : 1, 829

706 : 1, 2, 353, 706

493 : 1, 17, 29, 493

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,706,493,493, is 1.

Now, the common factors can be found like this.

829:829

706:2x 353

493:17x 29

493:17x 29

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

17x 29 = 493

Therefore, the value for common factors is 493.

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 = 142250260426/(1x493)

LCM = 142250260426/493

LCM = 288540082

Thus, we can understand that the LCM of 829,706,493,493 is 288540082.

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

• LCM of 982, 378, 414, 871
• LCM of 564, 519, 644, 834
• LCM of 622, 534, 524, 829
• LCM of 589, 547, 269, 274
• LCM of 109, 704, 374, 729

1. What is the LCM of 829, 706, 493, 493?

Answer: LCM of 829, 706, 493, 493 is 288540082.

2. How to calculate the LCM of 829, 706, 493, 493?

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 829, 706, 493, 493.

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}.