Given numbers are 194,420,460,332,958

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

The LCM of 194,420,460,332,958 is 37253104140.

Find LCM of 194,420,460,332,958 with Prime Factorization

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

2 x 2 x 5 x 97 x 21 x 23 x 83 x 479 = 37253104140

Therefore, the lowest common multiple of 194,420,460,332,958 is 37253104140.

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.

194 x 420 x 460 x 332 x 958 = 11920993324800

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.

194 : 1, 2, 97, 194

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

332 : 1, 2, 4, 83, 166, 332

958 : 1, 2, 479, 958

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 194,420,460,332,958, is 2.

Now, the common factors can be found like this.

194:2x 97

420:2x 2x 3x 5x 7

460:2x 2x 5x 23

332:2x 2x 83

958:2x 479

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 5 = 160

Therefore, the value for common factors is 160.

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 = 11920993324800/(2x160)

LCM = 11920993324800/320

LCM = 37253104140

Thus, we can understand that the LCM of 194,420,460,332,958 is 37253104140.

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

• LCM of 107, 602, 638, 461, 114
• LCM of 892, 792, 427, 203, 705
• LCM of 894, 951, 189, 763, 875
• LCM of 564, 770, 810, 302, 233
• LCM of 664, 922, 376, 857, 513

1. What is the LCM of 194, 420, 460, 332, 958?

Answer: LCM of 194, 420, 460, 332, 958 is 37253104140.

2. How to calculate the LCM of 194, 420, 460, 332, 958?

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 194, 420, 460, 332, 958.

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}.