Given numbers are 192,224,978,283

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

The LCM of 192,224,978,283 is 61997376.

Find LCM of 192,224,978,283 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 2 x 7 x 163 x 283 = 61997376

Therefore, the lowest common multiple of 192,224,978,283 is 61997376.

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 224 x 978 x 283 = 11903496192

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

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

978 : 1, 2, 3, 6, 163, 326, 489, 978

283 : 1, 283

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 192,224,978,283, is 1.

Now, the common factors can be found like this.

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

224:2x 2x 2x 2x 2x 7

978:2x 3x 163

283:283

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 2x 2x 2x 3 = 192

Therefore, the value for common factors is 192.

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 = 11903496192/(1x192)

LCM = 11903496192/192

LCM = 61997376

Thus, we can understand that the LCM of 192,224,978,283 is 61997376.

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

• LCM of 213, 681, 277, 279
• LCM of 389, 292, 284, 148
• LCM of 715, 703, 536, 504
• LCM of 349, 690, 589, 972
• LCM of 953, 404, 519, 863

1. What is the LCM of 192, 224, 978, 283?

Answer: LCM of 192, 224, 978, 283 is 61997376.

2. How to calculate the LCM of 192, 224, 978, 283?

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, 224, 978, 283.

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}.