Given numbers are 242,209,363,946

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

The LCM of 242,209,363,946 is 593142.

Find LCM of 242,209,363,946 with Prime Factorization

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

2 x 11 x 11 x 1 x 19 x 3 x 43 = 593142

Therefore, the lowest common multiple of 242,209,363,946 is 593142.

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.

242 x 209 x 363 x 946 = 17368384044

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.

242 : 1, 2, 11, 22, 121, 242

209 : 1, 11, 19, 209

363 : 1, 3, 11, 33, 121, 363

946 : 1, 2, 11, 22, 43, 86, 473, 946

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,209,363,946, is 11.

Now, the common factors can be found like this.

242:2x 11x 11

209:11x 19

363:3x 11x 11

946:2x 11x 43

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

2x 11x 11x 11 = 2662

Therefore, the value for common factors is 2662.

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 = 17368384044/(11x2662)

LCM = 17368384044/29282

LCM = 593142

Thus, we can understand that the LCM of 242,209,363,946 is 593142.

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

• LCM of 892, 908, 201, 692
• LCM of 617, 933, 156, 556
• LCM of 739, 829, 359, 801
• LCM of 448, 672, 890, 305
• LCM of 885, 895, 123, 332

1. What is the LCM of 242, 209, 363, 946?

Answer: LCM of 242, 209, 363, 946 is 593142.

2. How to calculate the LCM of 242, 209, 363, 946?

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 242, 209, 363, 946.

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}.