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LCM of 788, 466, 642, 232

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


Find the LCM of 788, 466, 642, 232 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 788, 466, 642, 232. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 788,466,642,232

Given numbers are 788,466,642,232

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

The LCM of 788,466,642,232 is 3418339272.

Find LCM of 788,466,642,232 with Prime Factorization


2 788, 466, 642, 232
2 394, 233, 321, 116
197, 233, 321, 58

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

2 x 2 x 197 x 233 x 321 x 58 = 3418339272

Therefore, the lowest common multiple of 788,466,642,232 is 3418339272.

LCM Formula to Find Lowest Common Multiple of 788,466,642,232

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.

788 x 466 x 642 x 232 = 54693428352

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.

788 : 1, 2, 4, 197, 394, 788

466 : 1, 2, 233, 466

642 : 1, 2, 3, 6, 107, 214, 321, 642

232 : 1, 2, 4, 8, 29, 58, 116, 232

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,466,642,232, is 2.

Now, the common factors can be found like this.

788:2x 2x 197

466:2x 233

642:2x 3x 107

232:2x 2x 2x 29

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 2 = 8

Therefore, the value for common factors is 8.

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 = 54693428352/(2x8)

LCM = 54693428352/16

LCM = 3418339272

Thus, we can understand that the LCM of 788,466,642,232 is 3418339272.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 788, 466, 642, 232

1. What is the LCM of 788, 466, 642, 232?

Answer: LCM of 788, 466, 642, 232 is 3418339272.

2. How to calculate the LCM of 788, 466, 642, 232?

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 788, 466, 642, 232.

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}.