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LCM of 409, 559, 156, 201

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


Find the LCM of 409, 559, 156, 201 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 409, 559, 156, 201. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 409,559,156,201

Given numbers are 409,559,156,201

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

The LCM of 409,559,156,201 is 183819324.

Find LCM of 409,559,156,201 with Prime Factorization


3 409, 559, 156, 201
13 409, 559, 52, 67
409, 43, 4, 67

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

3 x 13 x 409 x 43 x 4 x 67 = 183819324

Therefore, the lowest common multiple of 409,559,156,201 is 183819324.

LCM Formula to Find Lowest Common Multiple of 409,559,156,201

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.

409 x 559 x 156 x 201 = 7168953636

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.

409 : 1, 409

559 : 1, 13, 43, 559

156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,559,156,201, is 1.

Now, the common factors can be found like this.

409:409

559:13x 43

156:2x 2x 3x 13

201:3x 67

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

3x 13 = 39

Therefore, the value for common factors is 39.

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 = 7168953636/(1x39)

LCM = 7168953636/39

LCM = 183819324

Thus, we can understand that the LCM of 409,559,156,201 is 183819324.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 409, 559, 156, 201

1. What is the LCM of 409, 559, 156, 201?

Answer: LCM of 409, 559, 156, 201 is 183819324.

2. How to calculate the LCM of 409, 559, 156, 201?

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 409, 559, 156, 201.

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}.