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LCM of 298, 686, 494, 794

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


Find the LCM of 298, 686, 494, 794 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 298, 686, 494, 794. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 298,686,494,794

Given numbers are 298,686,494,794

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

The LCM of 298,686,494,794 is 10023002626.

Find LCM of 298,686,494,794 with Prime Factorization


2 298, 686, 494, 794
149, 343, 247, 397

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

2 x 149 x 343 x 247 x 397 = 10023002626

Therefore, the lowest common multiple of 298,686,494,794 is 10023002626.

LCM Formula to Find Lowest Common Multiple of 298,686,494,794

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.

298 x 686 x 494 x 794 = 80184021008

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.

298 : 1, 2, 149, 298

686 : 1, 2, 7, 14, 49, 98, 343, 686

494 : 1, 2, 13, 19, 26, 38, 247, 494

794 : 1, 2, 397, 794

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,686,494,794, is 2.

Now, the common factors can be found like this.

298:2x 149

686:2x 7x 7x 7

494:2x 13x 19

794:2x 397

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 80184021008/(2x4)

LCM = 80184021008/8

LCM = 10023002626

Thus, we can understand that the LCM of 298,686,494,794 is 10023002626.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 298, 686, 494, 794

1. What is the LCM of 298, 686, 494, 794?

Answer: LCM of 298, 686, 494, 794 is 10023002626.

2. How to calculate the LCM of 298, 686, 494, 794?

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 298, 686, 494, 794.

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}.