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LCM of 198, 201, 629, 975

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


Find the LCM of 198, 201, 629, 975 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, 201, 629, 975. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 198,201,629,975

Given numbers are 198,201,629,975

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

The LCM of 198,201,629,975 is 2711902050.

Find LCM of 198,201,629,975 with Prime Factorization


3 198, 201, 629, 975
66, 67, 629, 325

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

3 x 66 x 67 x 629 x 325 = 2711902050

Therefore, the lowest common multiple of 198,201,629,975 is 2711902050.

LCM Formula to Find Lowest Common Multiple of 198,201,629,975

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 201 x 629 x 975 = 24407118450

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

201 : 1, 3, 67, 201

629 : 1, 17, 37, 629

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,201,629,975, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

201:3x 67

629:17x 37

975:3x 5x 5x 13

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 24407118450/(1x9)

LCM = 24407118450/9

LCM = 2711902050

Thus, we can understand that the LCM of 198,201,629,975 is 2711902050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 198, 201, 629, 975

1. What is the LCM of 198, 201, 629, 975?

Answer: LCM of 198, 201, 629, 975 is 2711902050.

2. How to calculate the LCM of 198, 201, 629, 975?

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, 201, 629, 975.

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}.