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LCM of 605, 698, 349

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


Find the LCM of 605, 698, 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 605, 698, 349. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 605,698,349

Given numbers are 605,698,349

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

The LCM of 605,698,349 is 422290.

Find LCM of 605,698,349 with Prime Factorization


349 605, 698, 349
605, 2, 1

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

349 x 605 x 2 x 1 = 422290

Therefore, the lowest common multiple of 605,698,349 is 422290.

LCM Formula to Find Lowest Common Multiple of 605,698,349

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.

605 x 698 x 349 = 147379210

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.

605 : 1, 5, 11, 55, 121, 605

698 : 1, 2, 349, 698

349 : 1, 349

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,698,349, is 1.

Now, the common factors can be found like this.

605:5x 11x 11

698:2x 349

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.

349 = 349

Therefore, the value for common factors is 349.

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 = 147379210/(1x349)

LCM = 147379210/349

LCM = 422290

Thus, we can understand that the LCM of 605,698,349 is 422290.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 605, 698, 349

1. What is the LCM of 605, 698, 349?

Answer: LCM of 605, 698, 349 is 422290.

2. How to calculate the LCM of 605, 698, 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 605, 698, 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}.