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LCM of 794, 855, 630, 598

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


Find the LCM of 794, 855, 630, 598 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, 855, 630, 598. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 794,855,630,598

Given numbers are 794,855,630,598

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

The LCM of 794,855,630,598 is 1420874910.

Find LCM of 794,855,630,598 with Prime Factorization


2 794, 855, 630, 598
3 397, 855, 315, 299
3 397, 285, 105, 299
5 397, 95, 35, 299
397, 19, 7, 299

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

2 x 3 x 3 x 5 x 397 x 19 x 7 x 299 = 1420874910

Therefore, the lowest common multiple of 794,855,630,598 is 1420874910.

LCM Formula to Find Lowest Common Multiple of 794,855,630,598

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 855 x 630 x 598 = 255757483800

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

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,855,630,598, is 1.

Now, the common factors can be found like this.

794:2x 397

855:3x 3x 5x 19

630:2x 3x 3x 5x 7

598:2x 13x 23

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 255757483800/(1x180)

LCM = 255757483800/180

LCM = 1420874910

Thus, we can understand that the LCM of 794,855,630,598 is 1420874910.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 794, 855, 630, 598

1. What is the LCM of 794, 855, 630, 598?

Answer: LCM of 794, 855, 630, 598 is 1420874910.

2. How to calculate the LCM of 794, 855, 630, 598?

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, 855, 630, 598.

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}.