Given numbers are 802,702,492,252,696

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

The LCM of 802,702,492,252,696 is 9371764584.

Find LCM of 802,702,492,252,696 with Prime Factorization

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

2 x 2 x 3 x 3 x 401 x 39 x 41 x 7 x 58 = 9371764584

Therefore, the lowest common multiple of 802,702,492,252,696 is 9371764584.

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.

802 x 702 x 492 x 252 x 696 = 48583227603456

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.

802 : 1, 2, 401, 802

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,702,492,252,696, is 2.

Now, the common factors can be found like this.

802:2x 401

702:2x 3x 3x 3x 13

492:2x 2x 3x 41

252:2x 2x 3x 3x 7

696:2x 2x 2x 3x 29

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 2x 2x 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 48583227603456/(2x2592)

LCM = 48583227603456/5184

LCM = 9371764584

Thus, we can understand that the LCM of 802,702,492,252,696 is 9371764584.

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

• LCM of 396, 194, 294, 604, 809
• LCM of 410, 550, 471, 541, 651
• LCM of 143, 103, 289, 928, 708
• LCM of 885, 723, 629, 828, 193
• LCM of 339, 323, 721, 326, 469

1. What is the LCM of 802, 702, 492, 252, 696?

Answer: LCM of 802, 702, 492, 252, 696 is 9371764584.

2. How to calculate the LCM of 802, 702, 492, 252, 696?

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 802, 702, 492, 252, 696.

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}.