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LCM of 213, 355, 705, 744

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


Find the LCM of 213, 355, 705, 744 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 213, 355, 705, 744. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 213,355,705,744

Given numbers are 213,355,705,744

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

The LCM of 213,355,705,744 is 12413640.

Find LCM of 213,355,705,744 with Prime Factorization


3 213, 355, 705, 744
5 71, 355, 235, 248
71 71, 71, 47, 248
1, 1, 47, 248

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

3 x 5 x 71 x 1 x 1 x 47 x 248 = 12413640

Therefore, the lowest common multiple of 213,355,705,744 is 12413640.

LCM Formula to Find Lowest Common Multiple of 213,355,705,744

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.

213 x 355 x 705 x 744 = 39661579800

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.

213 : 1, 3, 71, 213

355 : 1, 5, 71, 355

705 : 1, 3, 5, 15, 47, 141, 235, 705

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 213,355,705,744, is 1.

Now, the common factors can be found like this.

213:3x 71

355:5x 71

705:3x 5x 47

744:2x 2x 2x 3x 31

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

3x 3x 5x 71 = 3195

Therefore, the value for common factors is 3195.

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 = 39661579800/(1x3195)

LCM = 39661579800/3195

LCM = 12413640

Thus, we can understand that the LCM of 213,355,705,744 is 12413640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 213, 355, 705, 744

1. What is the LCM of 213, 355, 705, 744?

Answer: LCM of 213, 355, 705, 744 is 12413640.

2. How to calculate the LCM of 213, 355, 705, 744?

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 213, 355, 705, 744.

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}.