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LCM of 309, 579, 168, 936

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


Find the LCM of 309, 579, 168, 936 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 309, 579, 168, 936. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 309,579,168,936

Given numbers are 309,579,168,936

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

The LCM of 309,579,168,936 is 130247208.

Find LCM of 309,579,168,936 with Prime Factorization


2 309, 579, 168, 936
2 309, 579, 84, 468
2 309, 579, 42, 234
3 309, 579, 21, 117
103, 193, 7, 39

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

2 x 2 x 2 x 3 x 103 x 193 x 7 x 39 = 130247208

Therefore, the lowest common multiple of 309,579,168,936 is 130247208.

LCM Formula to Find Lowest Common Multiple of 309,579,168,936

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.

309 x 579 x 168 x 936 = 28133396928

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.

309 : 1, 3, 103, 309

579 : 1, 3, 193, 579

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

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,579,168,936, is 3.

Now, the common factors can be found like this.

309:3x 103

579:3x 193

168:2x 2x 2x 3x 7

936:2x 2x 2x 3x 3x 13

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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 28133396928/(3x72)

LCM = 28133396928/216

LCM = 130247208

Thus, we can understand that the LCM of 309,579,168,936 is 130247208.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 309, 579, 168, 936

1. What is the LCM of 309, 579, 168, 936?

Answer: LCM of 309, 579, 168, 936 is 130247208.

2. How to calculate the LCM of 309, 579, 168, 936?

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 309, 579, 168, 936.

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}.