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LCM of 549, 159, 212

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


Find the LCM of 549, 159, 212 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 549, 159, 212. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 549,159,212

Given numbers are 549,159,212

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

The LCM of 549,159,212 is 116388.

Find LCM of 549,159,212 with Prime Factorization


3 549, 159, 212
53 183, 53, 212
183, 1, 4

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

3 x 53 x 183 x 1 x 4 = 116388

Therefore, the lowest common multiple of 549,159,212 is 116388.

LCM Formula to Find Lowest Common Multiple of 549,159,212

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.

549 x 159 x 212 = 18505692

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.

549 : 1, 3, 9, 61, 183, 549

159 : 1, 3, 53, 159

212 : 1, 2, 4, 53, 106, 212

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 549,159,212, is 1.

Now, the common factors can be found like this.

549:3x 3x 61

159:3x 53

212:2x 2x 53

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

3x 53 = 159

Therefore, the value for common factors is 159.

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 = 18505692/(1x159)

LCM = 18505692/159

LCM = 116388

Thus, we can understand that the LCM of 549,159,212 is 116388.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 549, 159, 212

1. What is the LCM of 549, 159, 212?

Answer: LCM of 549, 159, 212 is 116388.

2. How to calculate the LCM of 549, 159, 212?

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 549, 159, 212.

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}.