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LCM of 362, 198, 556, 997

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


Find the LCM of 362, 198, 556, 997 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 362, 198, 556, 997. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 362,198,556,997

Given numbers are 362,198,556,997

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

The LCM of 362,198,556,997 is 9933075108.

Find LCM of 362,198,556,997 with Prime Factorization


2 362, 198, 556, 997
181, 99, 278, 997

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

2 x 181 x 99 x 278 x 997 = 9933075108

Therefore, the lowest common multiple of 362,198,556,997 is 9933075108.

LCM Formula to Find Lowest Common Multiple of 362,198,556,997

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.

362 x 198 x 556 x 997 = 39732300432

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.

362 : 1, 2, 181, 362

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

556 : 1, 2, 4, 139, 278, 556

997 : 1, 997

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,198,556,997, is 1.

Now, the common factors can be found like this.

362:2x 181

198:2x 3x 3x 11

556:2x 2x 139

997:997

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 = 39732300432/(1x4)

LCM = 39732300432/4

LCM = 9933075108

Thus, we can understand that the LCM of 362,198,556,997 is 9933075108.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 362, 198, 556, 997

1. What is the LCM of 362, 198, 556, 997?

Answer: LCM of 362, 198, 556, 997 is 9933075108.

2. How to calculate the LCM of 362, 198, 556, 997?

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 362, 198, 556, 997.

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}.