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LCM of 327, 543, 788, 763, 195

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


Find the LCM of 327, 543, 788, 763, 195 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 327, 543, 788, 763, 195. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 327,543,788,763,195

Given numbers are 327,543,788,763,195

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

The LCM of 327,543,788,763,195 is 21220906980.

Find LCM of 327,543,788,763,195 with Prime Factorization


3 327, 543, 788, 763, 195
109 109, 181, 788, 763, 65
1, 181, 788, 7, 65

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

3 x 109 x 1 x 181 x 788 x 7 x 65 = 21220906980

Therefore, the lowest common multiple of 327,543,788,763,195 is 21220906980.

LCM Formula to Find Lowest Common Multiple of 327,543,788,763,195

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.

327 x 543 x 788 x 763 x 195 = 20817709747380

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.

327 : 1, 3, 109, 327

543 : 1, 3, 181, 543

788 : 1, 2, 4, 197, 394, 788

763 : 1, 7, 109, 763

195 : 1, 3, 5, 13, 15, 39, 65, 195

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,543,788,763,195, is 1.

Now, the common factors can be found like this.

327:3x 109

543:3x 181

788:2x 2x 197

763:7x 109

195:3x 5x 13

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

3x 3x 109 = 981

Therefore, the value for common factors is 981.

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 = 20817709747380/(1x981)

LCM = 20817709747380/981

LCM = 21220906980

Thus, we can understand that the LCM of 327,543,788,763,195 is 21220906980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 327, 543, 788, 763, 195

1. What is the LCM of 327, 543, 788, 763, 195?

Answer: LCM of 327, 543, 788, 763, 195 is 21220906980.

2. How to calculate the LCM of 327, 543, 788, 763, 195?

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 327, 543, 788, 763, 195.

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}.