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LCM of 209, 116, 716, 729

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


Find the LCM of 209, 116, 716, 729 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 209, 116, 716, 729. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,116,716,729

Given numbers are 209,116,716,729

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

The LCM of 209,116,716,729 is 3163623804.

Find LCM of 209,116,716,729 with Prime Factorization


2 209, 116, 716, 729
2 209, 58, 358, 729
209, 29, 179, 729

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

2 x 2 x 209 x 29 x 179 x 729 = 3163623804

Therefore, the lowest common multiple of 209,116,716,729 is 3163623804.

LCM Formula to Find Lowest Common Multiple of 209,116,716,729

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.

209 x 116 x 716 x 729 = 12654495216

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.

209 : 1, 11, 19, 209

116 : 1, 2, 4, 29, 58, 116

716 : 1, 2, 4, 179, 358, 716

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,116,716,729, is 1.

Now, the common factors can be found like this.

209:11x 19

116:2x 2x 29

716:2x 2x 179

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

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 = 12654495216/(1x4)

LCM = 12654495216/4

LCM = 3163623804

Thus, we can understand that the LCM of 209,116,716,729 is 3163623804.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 116, 716, 729

1. What is the LCM of 209, 116, 716, 729?

Answer: LCM of 209, 116, 716, 729 is 3163623804.

2. How to calculate the LCM of 209, 116, 716, 729?

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 209, 116, 716, 729.

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}.