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LCM of 849, 698, 568, 349

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


Find the LCM of 849, 698, 568, 349 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 849, 698, 568, 349. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 849,698,568,349

Given numbers are 849,698,568,349

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

The LCM of 849,698,568,349 is 168298968.

Find LCM of 849,698,568,349 with Prime Factorization


2 849, 698, 568, 349
349 849, 349, 284, 349
849, 1, 284, 1

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

2 x 349 x 849 x 1 x 284 x 1 = 168298968

Therefore, the lowest common multiple of 849,698,568,349 is 168298968.

LCM Formula to Find Lowest Common Multiple of 849,698,568,349

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.

849 x 698 x 568 x 349 = 117472679664

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.

849 : 1, 3, 283, 849

698 : 1, 2, 349, 698

568 : 1, 2, 4, 8, 71, 142, 284, 568

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,698,568,349, is 1.

Now, the common factors can be found like this.

849:3x 283

698:2x 349

568:2x 2x 2x 71

349:349

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

2x 349 = 698

Therefore, the value for common factors is 698.

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 = 117472679664/(1x698)

LCM = 117472679664/698

LCM = 168298968

Thus, we can understand that the LCM of 849,698,568,349 is 168298968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 849, 698, 568, 349

1. What is the LCM of 849, 698, 568, 349?

Answer: LCM of 849, 698, 568, 349 is 168298968.

2. How to calculate the LCM of 849, 698, 568, 349?

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 849, 698, 568, 349.

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}.