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LCM of 236, 633, 382, 382, 466

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


Find the LCM of 236, 633, 382, 382, 466 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 236, 633, 382, 382, 466. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 236,633,382,382,466

Given numbers are 236,633,382,382,466

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

The LCM of 236,633,382,382,466 is 6648214164.

Find LCM of 236,633,382,382,466 with Prime Factorization


2 236, 633, 382, 382, 466
191 118, 633, 191, 191, 233
118, 633, 1, 1, 233

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

2 x 191 x 118 x 633 x 1 x 1 x 233 = 6648214164

Therefore, the lowest common multiple of 236,633,382,382,466 is 6648214164.

LCM Formula to Find Lowest Common Multiple of 236,633,382,382,466

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.

236 x 633 x 382 x 382 x 466 = 10158471242592

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.

236 : 1, 2, 4, 59, 118, 236

633 : 1, 3, 211, 633

382 : 1, 2, 191, 382

382 : 1, 2, 191, 382

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 236,633,382,382,466, is 1.

Now, the common factors can be found like this.

236:2x 2x 59

633:3x 211

382:2x 191

382:2x 191

466:2x 233

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 191 = 1528

Therefore, the value for common factors is 1528.

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 = 10158471242592/(1x1528)

LCM = 10158471242592/1528

LCM = 6648214164

Thus, we can understand that the LCM of 236,633,382,382,466 is 6648214164.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 236, 633, 382, 382, 466

1. What is the LCM of 236, 633, 382, 382, 466?

Answer: LCM of 236, 633, 382, 382, 466 is 6648214164.

2. How to calculate the LCM of 236, 633, 382, 382, 466?

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 236, 633, 382, 382, 466.

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}.