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LCM of 177, 388, 301, 616

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


Find the LCM of 177, 388, 301, 616 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 177, 388, 301, 616. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 177,388,301,616

Given numbers are 177,388,301,616

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

The LCM of 177,388,301,616 is 454772472.

Find LCM of 177,388,301,616 with Prime Factorization


2 177, 388, 301, 616
2 177, 194, 301, 308
7 177, 97, 301, 154
177, 97, 43, 22

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

2 x 2 x 7 x 177 x 97 x 43 x 22 = 454772472

Therefore, the lowest common multiple of 177,388,301,616 is 454772472.

LCM Formula to Find Lowest Common Multiple of 177,388,301,616

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.

177 x 388 x 301 x 616 = 12733629216

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.

177 : 1, 3, 59, 177

388 : 1, 2, 4, 97, 194, 388

301 : 1, 7, 43, 301

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,388,301,616, is 1.

Now, the common factors can be found like this.

177:3x 59

388:2x 2x 97

301:7x 43

616:2x 2x 2x 7x 11

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

2x 2x 7 = 28

Therefore, the value for common factors is 28.

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 = 12733629216/(1x28)

LCM = 12733629216/28

LCM = 454772472

Thus, we can understand that the LCM of 177,388,301,616 is 454772472.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 177, 388, 301, 616

1. What is the LCM of 177, 388, 301, 616?

Answer: LCM of 177, 388, 301, 616 is 454772472.

2. How to calculate the LCM of 177, 388, 301, 616?

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 177, 388, 301, 616.

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}.