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LCM of 232, 364, 770, 914, 466

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


Find the LCM of 232, 364, 770, 914, 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 232, 364, 770, 914, 466. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 232,364,770,914,466

Given numbers are 232,364,770,914,466

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

The LCM of 232,364,770,914,466 is 123641477960.

Find LCM of 232,364,770,914,466 with Prime Factorization


2 232, 364, 770, 914, 466
2 116, 182, 385, 457, 233
7 58, 91, 385, 457, 233
58, 13, 55, 457, 233

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

2 x 2 x 7 x 58 x 13 x 55 x 457 x 233 = 123641477960

Therefore, the lowest common multiple of 232,364,770,914,466 is 123641477960.

LCM Formula to Find Lowest Common Multiple of 232,364,770,914,466

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.

232 x 364 x 770 x 914 x 466 = 27695691063040

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.

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

914 : 1, 2, 457, 914

466 : 1, 2, 233, 466

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 232,364,770,914,466, is 2.

Now, the common factors can be found like this.

232:2x 2x 2x 29

364:2x 2x 7x 13

770:2x 5x 7x 11

914:2x 457

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 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 27695691063040/(2x112)

LCM = 27695691063040/224

LCM = 123641477960

Thus, we can understand that the LCM of 232,364,770,914,466 is 123641477960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 232, 364, 770, 914, 466

1. What is the LCM of 232, 364, 770, 914, 466?

Answer: LCM of 232, 364, 770, 914, 466 is 123641477960.

2. How to calculate the LCM of 232, 364, 770, 914, 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 232, 364, 770, 914, 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}.