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LCM of 397, 289, 722, 370, 543

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


Find the LCM of 397, 289, 722, 370, 543 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 397, 289, 722, 370, 543. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 397,289,722,370,543

Given numbers are 397,289,722,370,543

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

The LCM of 397,289,722,370,543 is 8321413537830.

Find LCM of 397,289,722,370,543 with Prime Factorization


2 397, 289, 722, 370, 543
397, 289, 361, 185, 543

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

2 x 397 x 289 x 361 x 185 x 543 = 8321413537830

Therefore, the lowest common multiple of 397,289,722,370,543 is 8321413537830.

LCM Formula to Find Lowest Common Multiple of 397,289,722,370,543

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.

397 x 289 x 722 x 370 x 543 = 16642827075660

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.

397 : 1, 397

289 : 1, 17, 289

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

370 : 1, 2, 5, 10, 37, 74, 185, 370

543 : 1, 3, 181, 543

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,289,722,370,543, is 1.

Now, the common factors can be found like this.

397:397

289:17x 17

722:2x 19x 19

370:2x 5x 37

543:3x 181

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

2 = 2

Therefore, the value for common factors is 2.

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 = 16642827075660/(1x2)

LCM = 16642827075660/2

LCM = 8321413537830

Thus, we can understand that the LCM of 397,289,722,370,543 is 8321413537830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 397, 289, 722, 370, 543

1. What is the LCM of 397, 289, 722, 370, 543?

Answer: LCM of 397, 289, 722, 370, 543 is 8321413537830.

2. How to calculate the LCM of 397, 289, 722, 370, 543?

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 397, 289, 722, 370, 543.

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}.