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LCM of 834, 385, 345, 421

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


Find the LCM of 834, 385, 345, 421 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 834, 385, 345, 421. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 834,385,345,421

Given numbers are 834,385,345,421

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

The LCM of 834,385,345,421 is 3109114470.

Find LCM of 834,385,345,421 with Prime Factorization


3 834, 385, 345, 421
5 278, 385, 115, 421
278, 77, 23, 421

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

3 x 5 x 278 x 77 x 23 x 421 = 3109114470

Therefore, the lowest common multiple of 834,385,345,421 is 3109114470.

LCM Formula to Find Lowest Common Multiple of 834,385,345,421

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.

834 x 385 x 345 x 421 = 46636717050

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.

834 : 1, 2, 3, 6, 139, 278, 417, 834

385 : 1, 5, 7, 11, 35, 55, 77, 385

345 : 1, 3, 5, 15, 23, 69, 115, 345

421 : 1, 421

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,385,345,421, is 1.

Now, the common factors can be found like this.

834:2x 3x 139

385:5x 7x 11

345:3x 5x 23

421:421

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 46636717050/(1x15)

LCM = 46636717050/15

LCM = 3109114470

Thus, we can understand that the LCM of 834,385,345,421 is 3109114470.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 834, 385, 345, 421

1. What is the LCM of 834, 385, 345, 421?

Answer: LCM of 834, 385, 345, 421 is 3109114470.

2. How to calculate the LCM of 834, 385, 345, 421?

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 834, 385, 345, 421.

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}.