Given numbers are 198,149,453,460

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

The LCM of 198,149,453,460 is 1024604460.

Find LCM of 198,149,453,460 with Prime Factorization

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

2 x 3 x 33 x 149 x 151 x 230 = 1024604460

Therefore, the lowest common multiple of 198,149,453,460 is 1024604460.

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.

198 x 149 x 453 x 460 = 6147626760

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.

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

149 : 1, 149

453 : 1, 3, 151, 453

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,149,453,460, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

149:149

453:3x 151

460:2x 2x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 6147626760/(1x6)

LCM = 6147626760/6

LCM = 1024604460

Thus, we can understand that the LCM of 198,149,453,460 is 1024604460.

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

• LCM of 473, 460, 372, 743
• LCM of 425, 232, 925, 179
• LCM of 659, 319, 401, 757
• LCM of 204, 818, 711, 991
• LCM of 384, 578, 647, 923

1. What is the LCM of 198, 149, 453, 460?

Answer: LCM of 198, 149, 453, 460 is 1024604460.

2. How to calculate the LCM of 198, 149, 453, 460?

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 198, 149, 453, 460.

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}.