Given numbers are 190,460,193,420

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

The LCM of 190,460,193,420 is 35423220.

Find LCM of 190,460,193,420 with Prime Factorization

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

2 x 2 x 5 x 19 x 23 x 193 x 21 = 35423220

Therefore, the lowest common multiple of 190,460,193,420 is 35423220.

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.

190 x 460 x 193 x 420 = 7084644000

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.

190 : 1, 2, 5, 10, 19, 38, 95, 190

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

193 : 1, 193

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,460,193,420, is 1.

Now, the common factors can be found like this.

190:2x 5x 19

460:2x 2x 5x 23

193:193

420:2x 2x 3x 5x 7

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 7084644000/(1x200)

LCM = 7084644000/200

LCM = 35423220

Thus, we can understand that the LCM of 190,460,193,420 is 35423220.

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

• LCM of 645, 133, 559, 767
• LCM of 256, 751, 787, 643
• LCM of 573, 701, 489, 245
• LCM of 626, 139, 162, 462
• LCM of 650, 120, 280, 273

1. What is the LCM of 190, 460, 193, 420?

Answer: LCM of 190, 460, 193, 420 is 35423220.

2. How to calculate the LCM of 190, 460, 193, 420?

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 190, 460, 193, 420.

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}.