Given numbers are 696,217,403,493

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

The LCM of 696,217,403,493 is 33378072.

Find LCM of 696,217,403,493 with Prime Factorization

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

29 x 31 x 24 x 7 x 13 x 17 = 33378072

Therefore, the lowest common multiple of 696,217,403,493 is 33378072.

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.

696 x 217 x 403 x 493 = 30006886728

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.

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

217 : 1, 7, 31, 217

403 : 1, 13, 31, 403

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,217,403,493, is 1.

Now, the common factors can be found like this.

696:2x 2x 2x 3x 29

217:7x 31

403:13x 31

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.

29x 31 = 899

Therefore, the value for common factors is 899.

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 = 30006886728/(1x899)

LCM = 30006886728/899

LCM = 33378072

Thus, we can understand that the LCM of 696,217,403,493 is 33378072.

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

• LCM of 843, 374, 231, 649
• LCM of 778, 185, 889, 303
• LCM of 375, 150, 936, 693
• LCM of 140, 838, 520, 669
• LCM of 144, 565, 516, 900

1. What is the LCM of 696, 217, 403, 493?

Answer: LCM of 696, 217, 403, 493 is 33378072.

2. How to calculate the LCM of 696, 217, 403, 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 696, 217, 403, 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}.