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LCM of 342, 350, 819, 909

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


Find the LCM of 342, 350, 819, 909 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, 350, 819, 909. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 342,350,819,909

Given numbers are 342,350,819,909

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

The LCM of 342,350,819,909 is 78583050.

Find LCM of 342,350,819,909 with Prime Factorization


2 342, 350, 819, 909
3 171, 175, 819, 909
3 57, 175, 273, 303
7 19, 175, 91, 101
19, 25, 13, 101

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

2 x 3 x 3 x 7 x 19 x 25 x 13 x 101 = 78583050

Therefore, the lowest common multiple of 342,350,819,909 is 78583050.

LCM Formula to Find Lowest Common Multiple of 342,350,819,909

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 350 x 819 x 909 = 89113178700

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

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

909 : 1, 3, 9, 101, 303, 909

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,350,819,909, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

350:2x 5x 5x 7

819:3x 3x 7x 13

909:3x 3x 101

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 3x 3x 7 = 1134

Therefore, the value for common factors is 1134.

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 = 89113178700/(1x1134)

LCM = 89113178700/1134

LCM = 78583050

Thus, we can understand that the LCM of 342,350,819,909 is 78583050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 342, 350, 819, 909

1. What is the LCM of 342, 350, 819, 909?

Answer: LCM of 342, 350, 819, 909 is 78583050.

2. How to calculate the LCM of 342, 350, 819, 909?

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, 350, 819, 909.

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}.