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LCM of 395, 328, 331, 474

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


Find the LCM of 395, 328, 331, 474 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 395, 328, 331, 474. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 395,328,331,474

Given numbers are 395,328,331,474

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

The LCM of 395,328,331,474 is 128653080.

Find LCM of 395,328,331,474 with Prime Factorization


2 395, 328, 331, 474
79 395, 164, 331, 237
5, 164, 331, 3

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

2 x 79 x 5 x 164 x 331 x 3 = 128653080

Therefore, the lowest common multiple of 395,328,331,474 is 128653080.

LCM Formula to Find Lowest Common Multiple of 395,328,331,474

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.

395 x 328 x 331 x 474 = 20327186640

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.

395 : 1, 5, 79, 395

328 : 1, 2, 4, 8, 41, 82, 164, 328

331 : 1, 331

474 : 1, 2, 3, 6, 79, 158, 237, 474

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,328,331,474, is 1.

Now, the common factors can be found like this.

395:5x 79

328:2x 2x 2x 41

331:331

474:2x 3x 79

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

2x 79 = 158

Therefore, the value for common factors is 158.

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 = 20327186640/(1x158)

LCM = 20327186640/158

LCM = 128653080

Thus, we can understand that the LCM of 395,328,331,474 is 128653080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 395, 328, 331, 474

1. What is the LCM of 395, 328, 331, 474?

Answer: LCM of 395, 328, 331, 474 is 128653080.

2. How to calculate the LCM of 395, 328, 331, 474?

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 395, 328, 331, 474.

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}.