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LCM of 360, 556, 790, 386, 211

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


Find the LCM of 360, 556, 790, 386, 211 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 360, 556, 790, 386, 211. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 360,556,790,386,211

Given numbers are 360,556,790,386,211

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

The LCM of 360,556,790,386,211 is 160984534680.

Find LCM of 360,556,790,386,211 with Prime Factorization


2 360, 556, 790, 386, 211
2 180, 278, 395, 193, 211
5 90, 139, 395, 193, 211
18, 139, 79, 193, 211

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

2 x 2 x 5 x 18 x 139 x 79 x 193 x 211 = 160984534680

Therefore, the lowest common multiple of 360,556,790,386,211 is 160984534680.

LCM Formula to Find Lowest Common Multiple of 360,556,790,386,211

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.

360 x 556 x 790 x 386 x 211 = 12878762774400

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.

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

556 : 1, 2, 4, 139, 278, 556

790 : 1, 2, 5, 10, 79, 158, 395, 790

386 : 1, 2, 193, 386

211 : 1, 211

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,556,790,386,211, is 1.

Now, the common factors can be found like this.

360:2x 2x 2x 3x 3x 5

556:2x 2x 139

790:2x 5x 79

386:2x 193

211:211

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 5 = 80

Therefore, the value for common factors is 80.

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 = 12878762774400/(1x80)

LCM = 12878762774400/80

LCM = 160984534680

Thus, we can understand that the LCM of 360,556,790,386,211 is 160984534680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 360, 556, 790, 386, 211

1. What is the LCM of 360, 556, 790, 386, 211?

Answer: LCM of 360, 556, 790, 386, 211 is 160984534680.

2. How to calculate the LCM of 360, 556, 790, 386, 211?

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 360, 556, 790, 386, 211.

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}.