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LCM of 154, 579, 339, 772, 201

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


Find the LCM of 154, 579, 339, 772, 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 154, 579, 339, 772, 201. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 154,579,339,772,201

Given numbers are 154,579,339,772,201

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

The LCM of 154,579,339,772,201 is 1350151572.

Find LCM of 154,579,339,772,201 with Prime Factorization


2 154, 579, 339, 772, 201
3 77, 579, 339, 386, 201
193 77, 193, 113, 386, 67
77, 1, 113, 2, 67

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

2 x 3 x 193 x 77 x 1 x 113 x 2 x 67 = 1350151572

Therefore, the lowest common multiple of 154,579,339,772,201 is 1350151572.

LCM Formula to Find Lowest Common Multiple of 154,579,339,772,201

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.

154 x 579 x 339 x 772 x 201 = 4690426561128

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.

154 : 1, 2, 7, 11, 14, 22, 77, 154

579 : 1, 3, 193, 579

339 : 1, 3, 113, 339

772 : 1, 2, 4, 193, 386, 772

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,579,339,772,201, is 1.

Now, the common factors can be found like this.

154:2x 7x 11

579:3x 193

339:3x 113

772:2x 2x 193

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.

2x 3x 3x 193 = 3474

Therefore, the value for common factors is 3474.

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 = 4690426561128/(1x3474)

LCM = 4690426561128/3474

LCM = 1350151572

Thus, we can understand that the LCM of 154,579,339,772,201 is 1350151572.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 154, 579, 339, 772, 201

1. What is the LCM of 154, 579, 339, 772, 201?

Answer: LCM of 154, 579, 339, 772, 201 is 1350151572.

2. How to calculate the LCM of 154, 579, 339, 772, 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 154, 579, 339, 772, 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}.