Given numbers are 466,18,194,690

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

The LCM of 466,18,194,690 is 46784070.

Find LCM of 466,18,194,690 with Prime Factorization

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

2 x 3 x 233 x 3 x 97 x 115 = 46784070

Therefore, the lowest common multiple of 466,18,194,690 is 46784070.

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.

466 x 18 x 194 x 690 = 1122817680

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.

466 : 1, 2, 233, 466

18 : 1, 2, 3, 6, 9, 18

194 : 1, 2, 97, 194

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,18,194,690, is 2.

Now, the common factors can be found like this.

466:2x 233

18:2x 3x 3

194:2x 97

690:2x 3x 5x 23

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 = 1122817680/(2x12)

LCM = 1122817680/24

LCM = 46784070

Thus, we can understand that the LCM of 466,18,194,690 is 46784070.

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

• LCM of 275, 86, 593, 577
• LCM of 857, 52, 814, 278
• LCM of 647, 60, 641, 500
• LCM of 157, 37, 947, 735
• LCM of 317, 10, 661, 379

1. What is the LCM of 466, 18, 194, 690?

Answer: LCM of 466, 18, 194, 690 is 46784070.

2. How to calculate the LCM of 466, 18, 194, 690?

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 466, 18, 194, 690.

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}.