Given numbers are 296,284,968,118,302

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

The LCM of 296,284,968,118,302 is 22655016824.

Find LCM of 296,284,968,118,302 with Prime Factorization

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

2 x 2 x 2 x 37 x 71 x 121 x 59 x 151 = 22655016824

Therefore, the lowest common multiple of 296,284,968,118,302 is 22655016824.

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.

296 x 284 x 968 x 118 x 302 = 2899842153472

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.

296 : 1, 2, 4, 8, 37, 74, 148, 296

284 : 1, 2, 4, 71, 142, 284

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

118 : 1, 2, 59, 118

302 : 1, 2, 151, 302

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 296,284,968,118,302, is 2.

Now, the common factors can be found like this.

296:2x 2x 2x 37

284:2x 2x 71

968:2x 2x 2x 11x 11

118:2x 59

302:2x 151

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 2 = 64

Therefore, the value for common factors is 64.

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 = 2899842153472/(2x64)

LCM = 2899842153472/128

LCM = 22655016824

Thus, we can understand that the LCM of 296,284,968,118,302 is 22655016824.

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

• LCM of 935, 349, 979, 814, 645
• LCM of 705, 942, 590, 307, 349
• LCM of 955, 183, 248, 434, 404
• LCM of 356, 698, 709, 447, 261
• LCM of 983, 365, 529, 580, 181

1. What is the LCM of 296, 284, 968, 118, 302?

Answer: LCM of 296, 284, 968, 118, 302 is 22655016824.

2. How to calculate the LCM of 296, 284, 968, 118, 302?

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 296, 284, 968, 118, 302.

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}.