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LCM of 598, 818, 793, 427

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


Find the LCM of 598, 818, 793, 427 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 598, 818, 793, 427. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 598,818,793,427

Given numbers are 598,818,793,427

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

The LCM of 598,818,793,427 is 104436514.

Find LCM of 598,818,793,427 with Prime Factorization


2 598, 818, 793, 427
13 299, 409, 793, 427
61 23, 409, 61, 427
23, 409, 1, 7

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

2 x 13 x 61 x 23 x 409 x 1 x 7 = 104436514

Therefore, the lowest common multiple of 598,818,793,427 is 104436514.

LCM Formula to Find Lowest Common Multiple of 598,818,793,427

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.

598 x 818 x 793 x 427 = 165636311204

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.

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

818 : 1, 2, 409, 818

793 : 1, 13, 61, 793

427 : 1, 7, 61, 427

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,818,793,427, is 1.

Now, the common factors can be found like this.

598:2x 13x 23

818:2x 409

793:13x 61

427:7x 61

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

2x 13x 61 = 1586

Therefore, the value for common factors is 1586.

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 = 165636311204/(1x1586)

LCM = 165636311204/1586

LCM = 104436514

Thus, we can understand that the LCM of 598,818,793,427 is 104436514.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 598, 818, 793, 427

1. What is the LCM of 598, 818, 793, 427?

Answer: LCM of 598, 818, 793, 427 is 104436514.

2. How to calculate the LCM of 598, 818, 793, 427?

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 598, 818, 793, 427.

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}.