Given numbers are 633,125,960,988,144

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

The LCM of 633,125,960,988,144 is 3752424000.

Find LCM of 633,125,960,988,144 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 211 x 25 x 4 x 247 x 3 = 3752424000

Therefore, the lowest common multiple of 633,125,960,988,144 is 3752424000.

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.

633 x 125 x 960 x 988 x 144 = 10806981120000

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.

633 : 1, 3, 211, 633

125 : 1, 5, 25, 125

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

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

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,125,960,988,144, is 1.

Now, the common factors can be found like this.

633:3x 211

125:5x 5x 5

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

988:2x 2x 13x 19

144:2x 2x 2x 2x 3x 3

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 3x 3x 5 = 2880

Therefore, the value for common factors is 2880.

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 = 10806981120000/(1x2880)

LCM = 10806981120000/2880

LCM = 3752424000

Thus, we can understand that the LCM of 633,125,960,988,144 is 3752424000.

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

• LCM of 650, 937, 234, 863, 504
• LCM of 930, 911, 502, 592, 619
• LCM of 139, 172, 741, 959, 324
• LCM of 440, 470, 717, 396, 298
• LCM of 355, 593, 860, 935, 778

1. What is the LCM of 633, 125, 960, 988, 144?

Answer: LCM of 633, 125, 960, 988, 144 is 3752424000.

2. How to calculate the LCM of 633, 125, 960, 988, 144?

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 633, 125, 960, 988, 144.

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}.