Given numbers are 467,270,314,433

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

The LCM of 467,270,314,433 is 8571724290.

Find LCM of 467,270,314,433 with Prime Factorization

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

2 x 467 x 135 x 157 x 433 = 8571724290

Therefore, the lowest common multiple of 467,270,314,433 is 8571724290.

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.

467 x 270 x 314 x 433 = 17143448580

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.

467 : 1, 467

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

314 : 1, 2, 157, 314

433 : 1, 433

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,270,314,433, is 1.

Now, the common factors can be found like this.

467:467

270:2x 3x 3x 3x 5

314:2x 157

433:433

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

2 = 2

Therefore, the value for common factors is 2.

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 = 17143448580/(1x2)

LCM = 17143448580/2

LCM = 8571724290

Thus, we can understand that the LCM of 467,270,314,433 is 8571724290.

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

• LCM of 705, 921, 810, 558
• LCM of 212, 261, 244, 998
• LCM of 542, 600, 490, 557
• LCM of 885, 631, 712, 308
• LCM of 846, 557, 114, 945

1. What is the LCM of 467, 270, 314, 433?

Answer: LCM of 467, 270, 314, 433 is 8571724290.

2. How to calculate the LCM of 467, 270, 314, 433?

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 467, 270, 314, 433.

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}.