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LCM of 326, 976, 247, 522, 187

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


Find the LCM of 326, 976, 247, 522, 187 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 326, 976, 247, 522, 187. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 326,976,247,522,187

Given numbers are 326,976,247,522,187

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

The LCM of 326,976,247,522,187 is 1917858179952.

Find LCM of 326,976,247,522,187 with Prime Factorization


2 326, 976, 247, 522, 187
163, 488, 247, 261, 187

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

2 x 163 x 488 x 247 x 261 x 187 = 1917858179952

Therefore, the lowest common multiple of 326,976,247,522,187 is 1917858179952.

LCM Formula to Find Lowest Common Multiple of 326,976,247,522,187

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.

326 x 976 x 247 x 522 x 187 = 7671432719808

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.

326 : 1, 2, 163, 326

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

247 : 1, 13, 19, 247

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

187 : 1, 11, 17, 187

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,976,247,522,187, is 1.

Now, the common factors can be found like this.

326:2x 163

976:2x 2x 2x 2x 61

247:13x 19

522:2x 3x 3x 29

187:11x 17

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 = 7671432719808/(1x4)

LCM = 7671432719808/4

LCM = 1917858179952

Thus, we can understand that the LCM of 326,976,247,522,187 is 1917858179952.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 326, 976, 247, 522, 187

1. What is the LCM of 326, 976, 247, 522, 187?

Answer: LCM of 326, 976, 247, 522, 187 is 1917858179952.

2. How to calculate the LCM of 326, 976, 247, 522, 187?

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 326, 976, 247, 522, 187.

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}.