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LCM of 686, 345, 198, 245

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


Find the LCM of 686, 345, 198, 245 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 686, 345, 198, 245. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 686,345,198,245

Given numbers are 686,345,198,245

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

The LCM of 686,345,198,245 is 7810110.

Find LCM of 686,345,198,245 with Prime Factorization


2 686, 345, 198, 245
3 343, 345, 99, 245
5 343, 115, 33, 245
7 343, 23, 33, 49
7 7, 23, 33, 49
1, 23, 33, 7

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

2 x 3 x 5 x 7 x 7 x 1 x 23 x 33 x 7 = 7810110

Therefore, the lowest common multiple of 686,345,198,245 is 7810110.

LCM Formula to Find Lowest Common Multiple of 686,345,198,245

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.

686 x 345 x 198 x 245 = 11480861700

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.

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

345 : 1, 3, 5, 15, 23, 69, 115, 345

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

245 : 1, 5, 7, 35, 49, 245

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 686,345,198,245, is 1.

Now, the common factors can be found like this.

686:2x 7x 7x 7

345:3x 5x 23

198:2x 3x 3x 11

245:5x 7x 7

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

2x 3x 5x 7x 7 = 1470

Therefore, the value for common factors is 1470.

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 = 11480861700/(1x1470)

LCM = 11480861700/1470

LCM = 7810110

Thus, we can understand that the LCM of 686,345,198,245 is 7810110.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 686, 345, 198, 245

1. What is the LCM of 686, 345, 198, 245?

Answer: LCM of 686, 345, 198, 245 is 7810110.

2. How to calculate the LCM of 686, 345, 198, 245?

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 686, 345, 198, 245.

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}.