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LCM of 486, 229, 994

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


Find the LCM of 486, 229, 994 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 486, 229, 994. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 486,229,994

Given numbers are 486,229,994

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

The LCM of 486,229,994 is 55313118.

Find LCM of 486,229,994 with Prime Factorization


2 486, 229, 994
243, 229, 497

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

2 x 243 x 229 x 497 = 55313118

Therefore, the lowest common multiple of 486,229,994 is 55313118.

LCM Formula to Find Lowest Common Multiple of 486,229,994

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.

486 x 229 x 994 = 110626236

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.

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

229 : 1, 229

994 : 1, 2, 7, 14, 71, 142, 497, 994

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,229,994, is 1.

Now, the common factors can be found like this.

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

229:229

994:2x 7x 71

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 = 110626236/(1x2)

LCM = 110626236/2

LCM = 55313118

Thus, we can understand that the LCM of 486,229,994 is 55313118.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 486, 229, 994

1. What is the LCM of 486, 229, 994?

Answer: LCM of 486, 229, 994 is 55313118.

2. How to calculate the LCM of 486, 229, 994?

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 486, 229, 994.

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}.