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LCM of 163, 842, 468, 484, 957

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


Find the LCM of 163, 842, 468, 484, 957 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 163, 842, 468, 484, 957. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 163,842,468,484,957

Given numbers are 163,842,468,484,957

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

The LCM of 163,842,468,484,957 is 112693514076.

Find LCM of 163,842,468,484,957 with Prime Factorization


2 163, 842, 468, 484, 957
2 163, 421, 234, 242, 957
3 163, 421, 117, 121, 957
11 163, 421, 39, 121, 319
163, 421, 39, 11, 29

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

2 x 2 x 3 x 11 x 163 x 421 x 39 x 11 x 29 = 112693514076

Therefore, the lowest common multiple of 163,842,468,484,957 is 112693514076.

LCM Formula to Find Lowest Common Multiple of 163,842,468,484,957

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.

163 x 842 x 468 x 484 x 957 = 29751087716064

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.

163 : 1, 163

842 : 1, 2, 421, 842

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

957 : 1, 3, 11, 29, 33, 87, 319, 957

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 163,842,468,484,957, is 1.

Now, the common factors can be found like this.

163:163

842:2x 421

468:2x 2x 3x 3x 13

484:2x 2x 11x 11

957:3x 11x 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 2x 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 29751087716064/(1x264)

LCM = 29751087716064/264

LCM = 112693514076

Thus, we can understand that the LCM of 163,842,468,484,957 is 112693514076.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 163, 842, 468, 484, 957

1. What is the LCM of 163, 842, 468, 484, 957?

Answer: LCM of 163, 842, 468, 484, 957 is 112693514076.

2. How to calculate the LCM of 163, 842, 468, 484, 957?

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 163, 842, 468, 484, 957.

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}.