Given numbers are 264,126,772,128,744

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

The LCM of 264,126,772,128,744 is 530716032.

Find LCM of 264,126,772,128,744 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 21 x 193 x 16 x 31 = 530716032

Therefore, the lowest common multiple of 264,126,772,128,744 is 530716032.

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.

264 x 126 x 772 x 128 x 744 = 2445539475456

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.

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

772 : 1, 2, 4, 193, 386, 772

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

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,126,772,128,744, is 2.

Now, the common factors can be found like this.

264:2x 2x 2x 3x 11

126:2x 3x 3x 7

772:2x 2x 193

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

744:2x 2x 2x 3x 31

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 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 2445539475456/(2x2304)

LCM = 2445539475456/4608

LCM = 530716032

Thus, we can understand that the LCM of 264,126,772,128,744 is 530716032.

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

• LCM of 858, 905, 296, 998, 254
• LCM of 219, 508, 440, 442, 713
• LCM of 770, 936, 462, 284, 784
• LCM of 659, 758, 659, 693, 732
• LCM of 599, 915, 154, 443, 309

1. What is the LCM of 264, 126, 772, 128, 744?

Answer: LCM of 264, 126, 772, 128, 744 is 530716032.

2. How to calculate the LCM of 264, 126, 772, 128, 744?

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 264, 126, 772, 128, 744.

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}.