Given numbers are 252,813,813,406,198

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

The LCM of 252,813,813,406,198 is 21785148.

Find LCM of 252,813,813,406,198 with Prime Factorization

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

2 x 3 x 3 x 7 x 271 x 2 x 1 x 1 x 29 x 11 = 21785148

Therefore, the lowest common multiple of 252,813,813,406,198 is 21785148.

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.

252 x 813 x 813 x 406 x 198 = 13389761944944

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.

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

813 : 1, 3, 271, 813

813 : 1, 3, 271, 813

406 : 1, 2, 7, 14, 29, 58, 203, 406

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 252,813,813,406,198, is 1.

Now, the common factors can be found like this.

252:2x 2x 3x 3x 7

813:3x 271

813:3x 271

406:2x 7x 29

198:2x 3x 3x 11

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 3x 3x 3x 3x 7x 271 = 614628

Therefore, the value for common factors is 614628.

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 = 13389761944944/(1x614628)

LCM = 13389761944944/614628

LCM = 21785148

Thus, we can understand that the LCM of 252,813,813,406,198 is 21785148.

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

• LCM of 335, 830, 591, 200, 461
• LCM of 281, 615, 300, 868, 686
• LCM of 123, 524, 772, 514, 973
• LCM of 808, 603, 579, 962, 895
• LCM of 569, 554, 692, 823, 799

1. What is the LCM of 252, 813, 813, 406, 198?

Answer: LCM of 252, 813, 813, 406, 198 is 21785148.

2. How to calculate the LCM of 252, 813, 813, 406, 198?

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 252, 813, 813, 406, 198.

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}.