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LCM of 729, 228, 943, 177

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


Find the LCM of 729, 228, 943, 177 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 729, 228, 943, 177. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 729,228,943,177

Given numbers are 729,228,943,177

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

The LCM of 729,228,943,177 is 3082512348.

Find LCM of 729,228,943,177 with Prime Factorization


3 729, 228, 943, 177
243, 76, 943, 59

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

3 x 243 x 76 x 943 x 59 = 3082512348

Therefore, the lowest common multiple of 729,228,943,177 is 3082512348.

LCM Formula to Find Lowest Common Multiple of 729,228,943,177

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.

729 x 228 x 943 x 177 = 27742611132

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.

729 : 1, 3, 9, 27, 81, 243, 729

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

943 : 1, 23, 41, 943

177 : 1, 3, 59, 177

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,228,943,177, is 1.

Now, the common factors can be found like this.

729:3x 3x 3x 3x 3x 3

228:2x 2x 3x 19

943:23x 41

177:3x 59

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 27742611132/(1x9)

LCM = 27742611132/9

LCM = 3082512348

Thus, we can understand that the LCM of 729,228,943,177 is 3082512348.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 729, 228, 943, 177

1. What is the LCM of 729, 228, 943, 177?

Answer: LCM of 729, 228, 943, 177 is 3082512348.

2. How to calculate the LCM of 729, 228, 943, 177?

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 729, 228, 943, 177.

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}.