Given numbers are 270,128,456,903

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

The LCM of 270,128,456,903 is 98824320.

Find LCM of 270,128,456,903 with Prime Factorization

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

2 x 2 x 2 x 3 x 45 x 16 x 19 x 301 = 98824320

Therefore, the lowest common multiple of 270,128,456,903 is 98824320.

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.

270 x 128 x 456 x 903 = 14230702080

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.

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

903 : 1, 3, 7, 21, 43, 129, 301, 903

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,128,456,903, is 1.

Now, the common factors can be found like this.

270:2x 3x 3x 3x 5

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

456:2x 2x 2x 3x 19

903:3x 7x 43

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 14230702080/(1x144)

LCM = 14230702080/144

LCM = 98824320

Thus, we can understand that the LCM of 270,128,456,903 is 98824320.

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

• LCM of 789, 754, 700, 760
• LCM of 486, 147, 124, 730
• LCM of 963, 170, 795, 308
• LCM of 306, 480, 686, 957
• LCM of 881, 101, 667, 246

1. What is the LCM of 270, 128, 456, 903?

Answer: LCM of 270, 128, 456, 903 is 98824320.

2. How to calculate the LCM of 270, 128, 456, 903?

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 270, 128, 456, 903.

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}.