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LCM of 694, 198, 320, 221, 409

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


Find the LCM of 694, 198, 320, 221, 409 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 694, 198, 320, 221, 409. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 694,198,320,221,409

Given numbers are 694,198,320,221,409

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

The LCM of 694,198,320,221,409 is 993642661440.

Find LCM of 694,198,320,221,409 with Prime Factorization


2 694, 198, 320, 221, 409
347, 99, 160, 221, 409

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

2 x 347 x 99 x 160 x 221 x 409 = 993642661440

Therefore, the lowest common multiple of 694,198,320,221,409 is 993642661440.

LCM Formula to Find Lowest Common Multiple of 694,198,320,221,409

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.

694 x 198 x 320 x 221 x 409 = 3974570645760

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.

694 : 1, 2, 347, 694

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

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

221 : 1, 13, 17, 221

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,198,320,221,409, is 1.

Now, the common factors can be found like this.

694:2x 347

198:2x 3x 3x 11

320:2x 2x 2x 2x 2x 2x 5

221:13x 17

409:409

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 = 3974570645760/(1x4)

LCM = 3974570645760/4

LCM = 993642661440

Thus, we can understand that the LCM of 694,198,320,221,409 is 993642661440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 694, 198, 320, 221, 409

1. What is the LCM of 694, 198, 320, 221, 409?

Answer: LCM of 694, 198, 320, 221, 409 is 993642661440.

2. How to calculate the LCM of 694, 198, 320, 221, 409?

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 694, 198, 320, 221, 409.

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}.