Given numbers are 192,214,146,982

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

The LCM of 192,214,146,982 is 736358592.

Find LCM of 192,214,146,982 with Prime Factorization

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

2 x 96 x 107 x 73 x 491 = 736358592

Therefore, the lowest common multiple of 192,214,146,982 is 736358592.

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.

192 x 214 x 146 x 982 = 5890868736

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.

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

214 : 1, 2, 107, 214

146 : 1, 2, 73, 146

982 : 1, 2, 491, 982

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,214,146,982, is 2.

Now, the common factors can be found like this.

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

214:2x 107

146:2x 73

982:2x 491

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 5890868736/(2x4)

LCM = 5890868736/8

LCM = 736358592

Thus, we can understand that the LCM of 192,214,146,982 is 736358592.

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

• LCM of 143, 985, 342, 222
• LCM of 588, 230, 446, 719
• LCM of 967, 981, 855, 631
• LCM of 684, 691, 261, 392
• LCM of 617, 513, 401, 917

1. What is the LCM of 192, 214, 146, 982?

Answer: LCM of 192, 214, 146, 982 is 736358592.

2. How to calculate the LCM of 192, 214, 146, 982?

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 192, 214, 146, 982.

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}.