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LCM of 708, 339, 923, 410, 537

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


Find the LCM of 708, 339, 923, 410, 537 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 708, 339, 923, 410, 537. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 708,339,923,410,537

Given numbers are 708,339,923,410,537

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

The LCM of 708,339,923,410,537 is 2709694277940.

Find LCM of 708,339,923,410,537 with Prime Factorization


2 708, 339, 923, 410, 537
3 354, 339, 923, 205, 537
118, 113, 923, 205, 179

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

2 x 3 x 118 x 113 x 923 x 205 x 179 = 2709694277940

Therefore, the lowest common multiple of 708,339,923,410,537 is 2709694277940.

LCM Formula to Find Lowest Common Multiple of 708,339,923,410,537

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.

708 x 339 x 923 x 410 x 537 = 48774497002920

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.

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

339 : 1, 3, 113, 339

923 : 1, 13, 71, 923

410 : 1, 2, 5, 10, 41, 82, 205, 410

537 : 1, 3, 179, 537

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 708,339,923,410,537, is 1.

Now, the common factors can be found like this.

708:2x 2x 3x 59

339:3x 113

923:13x 71

410:2x 5x 41

537:3x 179

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 48774497002920/(1x18)

LCM = 48774497002920/18

LCM = 2709694277940

Thus, we can understand that the LCM of 708,339,923,410,537 is 2709694277940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 708, 339, 923, 410, 537

1. What is the LCM of 708, 339, 923, 410, 537?

Answer: LCM of 708, 339, 923, 410, 537 is 2709694277940.

2. How to calculate the LCM of 708, 339, 923, 410, 537?

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 708, 339, 923, 410, 537.

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}.