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LCM of 198, 509, 378, 411

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


Find the LCM of 198, 509, 378, 411 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, 509, 378, 411. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 198,509,378,411

Given numbers are 198,509,378,411

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

The LCM of 198,509,378,411 is 289949814.

Find LCM of 198,509,378,411 with Prime Factorization


2 198, 509, 378, 411
3 99, 509, 189, 411
3 33, 509, 63, 137
11, 509, 21, 137

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

2 x 3 x 3 x 11 x 509 x 21 x 137 = 289949814

Therefore, the lowest common multiple of 198,509,378,411 is 289949814.

LCM Formula to Find Lowest Common Multiple of 198,509,378,411

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 509 x 378 x 411 = 15657289956

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

509 : 1, 509

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

411 : 1, 3, 137, 411

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,509,378,411, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

509:509

378:2x 3x 3x 3x 7

411:3x 137

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 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 15657289956/(1x54)

LCM = 15657289956/54

LCM = 289949814

Thus, we can understand that the LCM of 198,509,378,411 is 289949814.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 198, 509, 378, 411

1. What is the LCM of 198, 509, 378, 411?

Answer: LCM of 198, 509, 378, 411 is 289949814.

2. How to calculate the LCM of 198, 509, 378, 411?

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, 509, 378, 411.

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}.