Given numbers are 189,128,248,303

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

The LCM of 189,128,248,303 is 75745152.

Find LCM of 189,128,248,303 with Prime Factorization

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

2 x 2 x 2 x 3 x 63 x 16 x 31 x 101 = 75745152

Therefore, the lowest common multiple of 189,128,248,303 is 75745152.

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.

189 x 128 x 248 x 303 = 1817883648

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.

189 : 1, 3, 7, 9, 21, 27, 63, 189

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

248 : 1, 2, 4, 8, 31, 62, 124, 248

303 : 1, 3, 101, 303

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 189,128,248,303, is 1.

Now, the common factors can be found like this.

189:3x 3x 3x 7

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

248:2x 2x 2x 31

303:3x 101

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 3 = 24

Therefore, the value for common factors is 24.

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 = 1817883648/(1x24)

LCM = 1817883648/24

LCM = 75745152

Thus, we can understand that the LCM of 189,128,248,303 is 75745152.

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

• LCM of 454, 495, 292, 617
• LCM of 656, 553, 991, 741
• LCM of 558, 978, 386, 287
• LCM of 732, 517, 422, 722
• LCM of 459, 705, 813, 332

1. What is the LCM of 189, 128, 248, 303?

Answer: LCM of 189, 128, 248, 303 is 75745152.

2. How to calculate the LCM of 189, 128, 248, 303?

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 189, 128, 248, 303.

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}.