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LCM of 342, 405, 988, 299

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


Find the LCM of 342, 405, 988, 299 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 342, 405, 988, 299. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 342,405,988,299

Given numbers are 342,405,988,299

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

The LCM of 342,405,988,299 is 9203220.

Find LCM of 342,405,988,299 with Prime Factorization


2 342, 405, 988, 299
3 171, 405, 494, 299
3 57, 135, 494, 299
13 19, 45, 494, 299
19 19, 45, 38, 23
1, 45, 2, 23

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

2 x 3 x 3 x 13 x 19 x 1 x 45 x 2 x 23 = 9203220

Therefore, the lowest common multiple of 342,405,988,299 is 9203220.

LCM Formula to Find Lowest Common Multiple of 342,405,988,299

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.

342 x 405 x 988 x 299 = 40917516120

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,405,988,299, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

405:3x 3x 3x 3x 5

988:2x 2x 13x 19

299:13x 23

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

2x 3x 3x 13x 19 = 4446

Therefore, the value for common factors is 4446.

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 = 40917516120/(1x4446)

LCM = 40917516120/4446

LCM = 9203220

Thus, we can understand that the LCM of 342,405,988,299 is 9203220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 342, 405, 988, 299

1. What is the LCM of 342, 405, 988, 299?

Answer: LCM of 342, 405, 988, 299 is 9203220.

2. How to calculate the LCM of 342, 405, 988, 299?

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 342, 405, 988, 299.

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}.