Given numbers are 142,186,192,828

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

The LCM of 142,186,192,828 is 29158848.

Find LCM of 142,186,192,828 with Prime Factorization

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

2 x 2 x 3 x 71 x 31 x 16 x 69 = 29158848

Therefore, the lowest common multiple of 142,186,192,828 is 29158848.

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.

142 x 186 x 192 x 828 = 4198874112

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.

142 : 1, 2, 71, 142

186 : 1, 2, 3, 6, 31, 62, 93, 186

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,186,192,828, is 2.

Now, the common factors can be found like this.

142:2x 71

186:2x 3x 31

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

828:2x 2x 3x 3x 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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 4198874112/(2x72)

LCM = 4198874112/144

LCM = 29158848

Thus, we can understand that the LCM of 142,186,192,828 is 29158848.

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

• LCM of 940, 881, 140, 358
• LCM of 425, 903, 474, 150
• LCM of 585, 426, 658, 233
• LCM of 402, 973, 341, 459
• LCM of 839, 948, 503, 238

1. What is the LCM of 142, 186, 192, 828?

Answer: LCM of 142, 186, 192, 828 is 29158848.

2. How to calculate the LCM of 142, 186, 192, 828?

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 142, 186, 192, 828.

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}.