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LCM of 219, 920, 722, 361

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


Find the LCM of 219, 920, 722, 361 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 219, 920, 722, 361. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 219,920,722,361

Given numbers are 219,920,722,361

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

The LCM of 219,920,722,361 is 72734280.

Find LCM of 219,920,722,361 with Prime Factorization


2 219, 920, 722, 361
19 219, 460, 361, 361
19 219, 460, 19, 19
219, 460, 1, 1

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

2 x 19 x 19 x 219 x 460 x 1 x 1 = 72734280

Therefore, the lowest common multiple of 219,920,722,361 is 72734280.

LCM Formula to Find Lowest Common Multiple of 219,920,722,361

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.

219 x 920 x 722 x 361 = 52514150160

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.

219 : 1, 3, 73, 219

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

722 : 1, 2, 19, 38, 361, 722

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 219,920,722,361, is 1.

Now, the common factors can be found like this.

219:3x 73

920:2x 2x 2x 5x 23

722:2x 19x 19

361:19x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 19x 19 = 722

Therefore, the value for common factors is 722.

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 = 52514150160/(1x722)

LCM = 52514150160/722

LCM = 72734280

Thus, we can understand that the LCM of 219,920,722,361 is 72734280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 219, 920, 722, 361

1. What is the LCM of 219, 920, 722, 361?

Answer: LCM of 219, 920, 722, 361 is 72734280.

2. How to calculate the LCM of 219, 920, 722, 361?

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 219, 920, 722, 361.

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}.