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LCM of 386, 344, 989, 654

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


Find the LCM of 386, 344, 989, 654 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 386, 344, 989, 654. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 386,344,989,654

Given numbers are 386,344,989,654

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

The LCM of 386,344,989,654 is 499334232.

Find LCM of 386,344,989,654 with Prime Factorization


2 386, 344, 989, 654
43 193, 172, 989, 327
193, 4, 23, 327

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

2 x 43 x 193 x 4 x 23 x 327 = 499334232

Therefore, the lowest common multiple of 386,344,989,654 is 499334232.

LCM Formula to Find Lowest Common Multiple of 386,344,989,654

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.

386 x 344 x 989 x 654 = 85885487904

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.

386 : 1, 2, 193, 386

344 : 1, 2, 4, 8, 43, 86, 172, 344

989 : 1, 23, 43, 989

654 : 1, 2, 3, 6, 109, 218, 327, 654

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 386,344,989,654, is 1.

Now, the common factors can be found like this.

386:2x 193

344:2x 2x 2x 43

989:23x 43

654:2x 3x 109

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 43 = 172

Therefore, the value for common factors is 172.

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 = 85885487904/(1x172)

LCM = 85885487904/172

LCM = 499334232

Thus, we can understand that the LCM of 386,344,989,654 is 499334232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 386, 344, 989, 654

1. What is the LCM of 386, 344, 989, 654?

Answer: LCM of 386, 344, 989, 654 is 499334232.

2. How to calculate the LCM of 386, 344, 989, 654?

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 386, 344, 989, 654.

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}.