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LCM of 798, 592, 353, 737, 596

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


Find the LCM of 798, 592, 353, 737, 596 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 798, 592, 353, 737, 596. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 798,592,353,737,596

Given numbers are 798,592,353,737,596

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

The LCM of 798,592,353,737,596 is 9156364313712.

Find LCM of 798,592,353,737,596 with Prime Factorization


2 798, 592, 353, 737, 596
2 399, 296, 353, 737, 298
399, 148, 353, 737, 149

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

2 x 2 x 399 x 148 x 353 x 737 x 149 = 9156364313712

Therefore, the lowest common multiple of 798,592,353,737,596 is 9156364313712.

LCM Formula to Find Lowest Common Multiple of 798,592,353,737,596

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.

798 x 592 x 353 x 737 x 596 = 73250914509696

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.

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

353 : 1, 353

737 : 1, 11, 67, 737

596 : 1, 2, 4, 149, 298, 596

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 798,592,353,737,596, is 1.

Now, the common factors can be found like this.

798:2x 3x 7x 19

592:2x 2x 2x 2x 37

353:353

737:11x 67

596:2x 2x 149

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

2x 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 73250914509696/(1x8)

LCM = 73250914509696/8

LCM = 9156364313712

Thus, we can understand that the LCM of 798,592,353,737,596 is 9156364313712.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 798, 592, 353, 737, 596

1. What is the LCM of 798, 592, 353, 737, 596?

Answer: LCM of 798, 592, 353, 737, 596 is 9156364313712.

2. How to calculate the LCM of 798, 592, 353, 737, 596?

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 798, 592, 353, 737, 596.

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}.