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LCM of 794, 744, 682, 598, 607

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


Find the LCM of 794, 744, 682, 598, 607 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 794, 744, 682, 598, 607. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 794,744,682,598,607

Given numbers are 794,744,682,598,607

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

The LCM of 794,744,682,598,607 is 589679468664.

Find LCM of 794,744,682,598,607 with Prime Factorization


2 794, 744, 682, 598, 607
31 397, 372, 341, 299, 607
397, 12, 11, 299, 607

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

2 x 31 x 397 x 12 x 11 x 299 x 607 = 589679468664

Therefore, the lowest common multiple of 794,744,682,598,607 is 589679468664.

LCM Formula to Find Lowest Common Multiple of 794,744,682,598,607

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.

794 x 744 x 682 x 598 x 607 = 146240508228672

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.

794 : 1, 2, 397, 794

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

682 : 1, 2, 11, 22, 31, 62, 341, 682

598 : 1, 2, 13, 23, 26, 46, 299, 598

607 : 1, 607

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,744,682,598,607, is 1.

Now, the common factors can be found like this.

794:2x 397

744:2x 2x 2x 3x 31

682:2x 11x 31

598:2x 13x 23

607:607

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 2x 31 = 248

Therefore, the value for common factors is 248.

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 = 146240508228672/(1x248)

LCM = 146240508228672/248

LCM = 589679468664

Thus, we can understand that the LCM of 794,744,682,598,607 is 589679468664.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 794, 744, 682, 598, 607

1. What is the LCM of 794, 744, 682, 598, 607?

Answer: LCM of 794, 744, 682, 598, 607 is 589679468664.

2. How to calculate the LCM of 794, 744, 682, 598, 607?

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 794, 744, 682, 598, 607.

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}.