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LCM of 743, 828, 706, 591, 361

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


Find the LCM of 743, 828, 706, 591, 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 743, 828, 706, 591, 361. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 743,828,706,591,361

Given numbers are 743,828,706,591,361

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

The LCM of 743,828,706,591,361 is 15444266392404.

Find LCM of 743,828,706,591,361 with Prime Factorization


2 743, 828, 706, 591, 361
3 743, 414, 353, 591, 361
743, 138, 353, 197, 361

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

2 x 3 x 743 x 138 x 353 x 197 x 361 = 15444266392404

Therefore, the lowest common multiple of 743,828,706,591,361 is 15444266392404.

LCM Formula to Find Lowest Common Multiple of 743,828,706,591,361

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.

743 x 828 x 706 x 591 x 361 = 92665598354424

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.

743 : 1, 743

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

706 : 1, 2, 353, 706

591 : 1, 3, 197, 591

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,828,706,591,361, is 1.

Now, the common factors can be found like this.

743:743

828:2x 2x 3x 3x 23

706:2x 353

591:3x 197

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 3 = 6

Therefore, the value for common factors is 6.

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 = 92665598354424/(1x6)

LCM = 92665598354424/6

LCM = 15444266392404

Thus, we can understand that the LCM of 743,828,706,591,361 is 15444266392404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 743, 828, 706, 591, 361

1. What is the LCM of 743, 828, 706, 591, 361?

Answer: LCM of 743, 828, 706, 591, 361 is 15444266392404.

2. How to calculate the LCM of 743, 828, 706, 591, 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 743, 828, 706, 591, 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}.