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LCM of 338, 493, 598, 614

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


Find the LCM of 338, 493, 598, 614 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 338, 493, 598, 614. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 338,493,598,614

Given numbers are 338,493,598,614

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

The LCM of 338,493,598,614 is 1176602674.

Find LCM of 338,493,598,614 with Prime Factorization


2 338, 493, 598, 614
13 169, 493, 299, 307
13, 493, 23, 307

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

2 x 13 x 13 x 493 x 23 x 307 = 1176602674

Therefore, the lowest common multiple of 338,493,598,614 is 1176602674.

LCM Formula to Find Lowest Common Multiple of 338,493,598,614

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.

338 x 493 x 598 x 614 = 61183339048

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.

338 : 1, 2, 13, 26, 169, 338

493 : 1, 17, 29, 493

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

614 : 1, 2, 307, 614

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,493,598,614, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

493:17x 29

598:2x 13x 23

614:2x 307

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 13 = 52

Therefore, the value for common factors is 52.

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 = 61183339048/(1x52)

LCM = 61183339048/52

LCM = 1176602674

Thus, we can understand that the LCM of 338,493,598,614 is 1176602674.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 338, 493, 598, 614

1. What is the LCM of 338, 493, 598, 614?

Answer: LCM of 338, 493, 598, 614 is 1176602674.

2. How to calculate the LCM of 338, 493, 598, 614?

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 338, 493, 598, 614.

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}.