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LCM of 198, 510, 309, 204

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


Find the LCM of 198, 510, 309, 204 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 198, 510, 309, 204. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 198,510,309,204

Given numbers are 198,510,309,204

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

The LCM of 198,510,309,204 is 3466980.

Find LCM of 198,510,309,204 with Prime Factorization


2 198, 510, 309, 204
3 99, 255, 309, 102
17 33, 85, 103, 34
33, 5, 103, 2

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

2 x 3 x 17 x 33 x 5 x 103 x 2 = 3466980

Therefore, the lowest common multiple of 198,510,309,204 is 3466980.

LCM Formula to Find Lowest Common Multiple of 198,510,309,204

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.

198 x 510 x 309 x 204 = 6365375280

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.

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

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

309 : 1, 3, 103, 309

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,510,309,204, is 3.

Now, the common factors can be found like this.

198:2x 3x 3x 11

510:2x 3x 5x 17

309:3x 103

204:2x 2x 3x 17

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 3x 3x 17 = 612

Therefore, the value for common factors is 612.

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 = 6365375280/(3x612)

LCM = 6365375280/1836

LCM = 3466980

Thus, we can understand that the LCM of 198,510,309,204 is 3466980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 198, 510, 309, 204

1. What is the LCM of 198, 510, 309, 204?

Answer: LCM of 198, 510, 309, 204 is 3466980.

2. How to calculate the LCM of 198, 510, 309, 204?

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 198, 510, 309, 204.

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}.