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LCM of 466, 533, 104, 305

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 466, 533, 104, 305 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 466, 533, 104, 305. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 466,533,104,305

Given numbers are 466,533,104,305

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

The LCM of 466,533,104,305 is 303021160.

Find LCM of 466,533,104,305 with Prime Factorization


2 466, 533, 104, 305
13 233, 533, 52, 305
233, 41, 4, 305

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

2 x 13 x 233 x 41 x 4 x 305 = 303021160

Therefore, the lowest common multiple of 466,533,104,305 is 303021160.

LCM Formula to Find Lowest Common Multiple of 466,533,104,305

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.

466 x 533 x 104 x 305 = 7878550160

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.

466 : 1, 2, 233, 466

533 : 1, 13, 41, 533

104 : 1, 2, 4, 8, 13, 26, 52, 104

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,533,104,305, is 1.

Now, the common factors can be found like this.

466:2x 233

533:13x 41

104:2x 2x 2x 13

305:5x 61

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 7878550160/(1x26)

LCM = 7878550160/26

LCM = 303021160

Thus, we can understand that the LCM of 466,533,104,305 is 303021160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 466, 533, 104, 305

1. What is the LCM of 466, 533, 104, 305?

Answer: LCM of 466, 533, 104, 305 is 303021160.

2. How to calculate the LCM of 466, 533, 104, 305?

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 466, 533, 104, 305.

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}.