Given numbers are 189,690,223,944,946

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

The LCM of 189,690,223,944,946 is 2164201245360.

Find LCM of 189,690,223,944,946 with Prime Factorization

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

2 x 3 x 63 x 115 x 223 x 472 x 473 = 2164201245360

Therefore, the lowest common multiple of 189,690,223,944,946 is 2164201245360.

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.

189 x 690 x 223 x 944 x 946 = 25970414944320

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

223 : 1, 223

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,690,223,944,946, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

690:2x 3x 5x 23

223:223

944:2x 2x 2x 2x 59

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 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 25970414944320/(1x12)

LCM = 25970414944320/12

LCM = 2164201245360

Thus, we can understand that the LCM of 189,690,223,944,946 is 2164201245360.

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

• LCM of 342, 796, 458, 311, 550
• LCM of 463, 189, 642, 850, 772
• LCM of 172, 299, 650, 146, 897
• LCM of 611, 374, 388, 895, 956
• LCM of 864, 843, 189, 365, 607

1. What is the LCM of 189, 690, 223, 944, 946?

Answer: LCM of 189, 690, 223, 944, 946 is 2164201245360.

2. How to calculate the LCM of 189, 690, 223, 944, 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 189, 690, 223, 944, 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}.