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LCM of 353, 997, 434, 170, 849

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


Find the LCM of 353, 997, 434, 170, 849 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 353, 997, 434, 170, 849. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 353,997,434,170,849

Given numbers are 353,997,434,170,849

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

The LCM of 353,997,434,170,849 is 11022654863010.

Find LCM of 353,997,434,170,849 with Prime Factorization


2 353, 997, 434, 170, 849
353, 997, 217, 85, 849

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

2 x 353 x 997 x 217 x 85 x 849 = 11022654863010

Therefore, the lowest common multiple of 353,997,434,170,849 is 11022654863010.

LCM Formula to Find Lowest Common Multiple of 353,997,434,170,849

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.

353 x 997 x 434 x 170 x 849 = 22045309726020

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.

353 : 1, 353

997 : 1, 997

434 : 1, 2, 7, 14, 31, 62, 217, 434

170 : 1, 2, 5, 10, 17, 34, 85, 170

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 353,997,434,170,849, is 1.

Now, the common factors can be found like this.

353:353

997:997

434:2x 7x 31

170:2x 5x 17

849:3x 283

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

2 = 2

Therefore, the value for common factors is 2.

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 = 22045309726020/(1x2)

LCM = 22045309726020/2

LCM = 11022654863010

Thus, we can understand that the LCM of 353,997,434,170,849 is 11022654863010.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 353, 997, 434, 170, 849

1. What is the LCM of 353, 997, 434, 170, 849?

Answer: LCM of 353, 997, 434, 170, 849 is 11022654863010.

2. How to calculate the LCM of 353, 997, 434, 170, 849?

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 353, 997, 434, 170, 849.

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}.