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LCM of 259, 542, 352, 212

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


Find the LCM of 259, 542, 352, 212 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 259, 542, 352, 212. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 259,542,352,212

Given numbers are 259,542,352,212

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

The LCM of 259,542,352,212 is 1309445984.

Find LCM of 259,542,352,212 with Prime Factorization


2 259, 542, 352, 212
2 259, 271, 176, 106
259, 271, 88, 53

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

2 x 2 x 259 x 271 x 88 x 53 = 1309445984

Therefore, the lowest common multiple of 259,542,352,212 is 1309445984.

LCM Formula to Find Lowest Common Multiple of 259,542,352,212

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.

259 x 542 x 352 x 212 = 10475567872

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.

259 : 1, 7, 37, 259

542 : 1, 2, 271, 542

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

212 : 1, 2, 4, 53, 106, 212

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,542,352,212, is 1.

Now, the common factors can be found like this.

259:7x 37

542:2x 271

352:2x 2x 2x 2x 2x 11

212:2x 2x 53

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 = 10475567872/(1x8)

LCM = 10475567872/8

LCM = 1309445984

Thus, we can understand that the LCM of 259,542,352,212 is 1309445984.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 259, 542, 352, 212

1. What is the LCM of 259, 542, 352, 212?

Answer: LCM of 259, 542, 352, 212 is 1309445984.

2. How to calculate the LCM of 259, 542, 352, 212?

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 259, 542, 352, 212.

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}.