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LCM of 243, 336, 973, 164, 259

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


Find the LCM of 243, 336, 973, 164, 259 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 243, 336, 973, 164, 259. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 243,336,973,164,259

Given numbers are 243,336,973,164,259

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

The LCM of 243,336,973,164,259 is 5738847408.

Find LCM of 243,336,973,164,259 with Prime Factorization


2 243, 336, 973, 164, 259
2 243, 168, 973, 82, 259
3 243, 84, 973, 41, 259
7 81, 28, 973, 41, 259
81, 4, 139, 41, 37

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

2 x 2 x 3 x 7 x 81 x 4 x 139 x 41 x 37 = 5738847408

Therefore, the lowest common multiple of 243,336,973,164,259 is 5738847408.

LCM Formula to Find Lowest Common Multiple of 243,336,973,164,259

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.

243 x 336 x 973 x 164 x 259 = 3374442275904

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.

243 : 1, 3, 9, 27, 81, 243

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

973 : 1, 7, 139, 973

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

259 : 1, 7, 37, 259

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,336,973,164,259, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

336:2x 2x 2x 2x 3x 7

973:7x 139

164:2x 2x 41

259:7x 37

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 3x 7x 7 = 588

Therefore, the value for common factors is 588.

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 = 3374442275904/(1x588)

LCM = 3374442275904/588

LCM = 5738847408

Thus, we can understand that the LCM of 243,336,973,164,259 is 5738847408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 243, 336, 973, 164, 259

1. What is the LCM of 243, 336, 973, 164, 259?

Answer: LCM of 243, 336, 973, 164, 259 is 5738847408.

2. How to calculate the LCM of 243, 336, 973, 164, 259?

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 243, 336, 973, 164, 259.

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}.