Given numbers are 234,309,152,489

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

The LCM of 234,309,152,489 is 298575576.

Find LCM of 234,309,152,489 with Prime Factorization

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

2 x 3 x 39 x 103 x 76 x 163 = 298575576

Therefore, the lowest common multiple of 234,309,152,489 is 298575576.

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.

234 x 309 x 152 x 489 = 5374360368

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.

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

309 : 1, 3, 103, 309

152 : 1, 2, 4, 8, 19, 38, 76, 152

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,309,152,489, is 1.

Now, the common factors can be found like this.

234:2x 3x 3x 13

309:3x 103

152:2x 2x 2x 19

489:3x 163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 5374360368/(1x18)

LCM = 5374360368/18

LCM = 298575576

Thus, we can understand that the LCM of 234,309,152,489 is 298575576.

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

• LCM of 527, 322, 335, 439
• LCM of 364, 155, 665, 300
• LCM of 253, 981, 669, 413
• LCM of 982, 866, 426, 909
• LCM of 986, 906, 985, 754

1. What is the LCM of 234, 309, 152, 489?

Answer: LCM of 234, 309, 152, 489 is 298575576.

2. How to calculate the LCM of 234, 309, 152, 489?

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 234, 309, 152, 489.

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}.