Given numbers are 988,192,128,960

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

The LCM of 988,192,128,960 is 474240.

Find LCM of 988,192,128,960 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 3 x 247 x 1 x 2 x 5 = 474240

Therefore, the lowest common multiple of 988,192,128,960 is 474240.

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.

988 x 192 x 128 x 960 = 23309844480

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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

128 : 1, 2, 4, 8, 16, 32, 64, 128

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,192,128,960, is 4.

Now, the common factors can be found like this.

988:2x 2x 13x 19

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

128:2x 2x 2x 2x 2x 2x 2

960:2x 2x 2x 2x 2x 2x 3x 5

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 2x 2x 2x 2x 2x 2x 3 = 12288

Therefore, the value for common factors is 12288.

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 = 23309844480/(4x12288)

LCM = 23309844480/49152

LCM = 474240

Thus, we can understand that the LCM of 988,192,128,960 is 474240.

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

• LCM of 746, 434, 313, 339
• LCM of 900, 379, 149, 638
• LCM of 530, 964, 163, 193
• LCM of 304, 655, 492, 165
• LCM of 680, 951, 721, 900

1. What is the LCM of 988, 192, 128, 960?

Answer: LCM of 988, 192, 128, 960 is 474240.

2. How to calculate the LCM of 988, 192, 128, 960?

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 988, 192, 128, 960.

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}.