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LCM of 377, 311, 309, 506, 578

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


Find the LCM of 377, 311, 309, 506, 578 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 377, 311, 309, 506, 578. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 377,311,309,506,578

Given numbers are 377,311,309,506,578

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

The LCM of 377,311,309,506,578 is 5297958819582.

Find LCM of 377,311,309,506,578 with Prime Factorization


2 377, 311, 309, 506, 578
377, 311, 309, 253, 289

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

2 x 377 x 311 x 309 x 253 x 289 = 5297958819582

Therefore, the lowest common multiple of 377,311,309,506,578 is 5297958819582.

LCM Formula to Find Lowest Common Multiple of 377,311,309,506,578

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.

377 x 311 x 309 x 506 x 578 = 10595917639164

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.

377 : 1, 13, 29, 377

311 : 1, 311

309 : 1, 3, 103, 309

506 : 1, 2, 11, 22, 23, 46, 253, 506

578 : 1, 2, 17, 34, 289, 578

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,311,309,506,578, is 1.

Now, the common factors can be found like this.

377:13x 29

311:311

309:3x 103

506:2x 11x 23

578:2x 17x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 10595917639164/(1x2)

LCM = 10595917639164/2

LCM = 5297958819582

Thus, we can understand that the LCM of 377,311,309,506,578 is 5297958819582.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 377, 311, 309, 506, 578

1. What is the LCM of 377, 311, 309, 506, 578?

Answer: LCM of 377, 311, 309, 506, 578 is 5297958819582.

2. How to calculate the LCM of 377, 311, 309, 506, 578?

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 377, 311, 309, 506, 578.

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}.