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LCM of 394, 254, 646, 486

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


Find the LCM of 394, 254, 646, 486 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 394, 254, 646, 486. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 394,254,646,486

Given numbers are 394,254,646,486

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

The LCM of 394,254,646,486 is 3927432582.

Find LCM of 394,254,646,486 with Prime Factorization


2 394, 254, 646, 486
197, 127, 323, 243

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

2 x 197 x 127 x 323 x 243 = 3927432582

Therefore, the lowest common multiple of 394,254,646,486 is 3927432582.

LCM Formula to Find Lowest Common Multiple of 394,254,646,486

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.

394 x 254 x 646 x 486 = 31419460656

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.

394 : 1, 2, 197, 394

254 : 1, 2, 127, 254

646 : 1, 2, 17, 19, 34, 38, 323, 646

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,254,646,486, is 2.

Now, the common factors can be found like this.

394:2x 197

254:2x 127

646:2x 17x 19

486:2x 3x 3x 3x 3x 3

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 31419460656/(2x4)

LCM = 31419460656/8

LCM = 3927432582

Thus, we can understand that the LCM of 394,254,646,486 is 3927432582.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 394, 254, 646, 486

1. What is the LCM of 394, 254, 646, 486?

Answer: LCM of 394, 254, 646, 486 is 3927432582.

2. How to calculate the LCM of 394, 254, 646, 486?

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 394, 254, 646, 486.

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}.