Given numbers are 146,230,762,192

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

The LCM of 146,230,762,192 is 204703680.

Find LCM of 146,230,762,192 with Prime Factorization

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

2 x 3 x 73 x 115 x 127 x 32 = 204703680

Therefore, the lowest common multiple of 146,230,762,192 is 204703680.

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.

146 x 230 x 762 x 192 = 4912888320

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.

146 : 1, 2, 73, 146

230 : 1, 2, 5, 10, 23, 46, 115, 230

762 : 1, 2, 3, 6, 127, 254, 381, 762

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,230,762,192, is 2.

Now, the common factors can be found like this.

146:2x 73

230:2x 5x 23

762:2x 3x 127

192:2x 2x 2x 2x 2x 2x 3

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 = 4912888320/(2x12)

LCM = 4912888320/24

LCM = 204703680

Thus, we can understand that the LCM of 146,230,762,192 is 204703680.

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

• LCM of 260, 443, 576, 222
• LCM of 761, 439, 942, 179
• LCM of 813, 285, 927, 590
• LCM of 645, 824, 422, 910
• LCM of 103, 546, 770, 469

1. What is the LCM of 146, 230, 762, 192?

Answer: LCM of 146, 230, 762, 192 is 204703680.

2. How to calculate the LCM of 146, 230, 762, 192?

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 146, 230, 762, 192.

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}.