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LCM of 173, 187, 349, 402, 698

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


Find the LCM of 173, 187, 349, 402, 698 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 173, 187, 349, 402, 698. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 173,187,349,402,698

Given numbers are 173,187,349,402,698

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

The LCM of 173,187,349,402,698 is 4538780598.

Find LCM of 173,187,349,402,698 with Prime Factorization


2 173, 187, 349, 402, 698
349 173, 187, 349, 201, 349
173, 187, 1, 201, 1

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

2 x 349 x 173 x 187 x 1 x 201 x 1 = 4538780598

Therefore, the lowest common multiple of 173,187,349,402,698 is 4538780598.

LCM Formula to Find Lowest Common Multiple of 173,187,349,402,698

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.

173 x 187 x 349 x 402 x 698 = 3168068857404

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.

173 : 1, 173

187 : 1, 11, 17, 187

349 : 1, 349

402 : 1, 2, 3, 6, 67, 134, 201, 402

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,187,349,402,698, is 1.

Now, the common factors can be found like this.

173:173

187:11x 17

349:349

402:2x 3x 67

698:2x 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 = 3168068857404/(1x698)

LCM = 3168068857404/698

LCM = 4538780598

Thus, we can understand that the LCM of 173,187,349,402,698 is 4538780598.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 173, 187, 349, 402, 698

1. What is the LCM of 173, 187, 349, 402, 698?

Answer: LCM of 173, 187, 349, 402, 698 is 4538780598.

2. How to calculate the LCM of 173, 187, 349, 402, 698?

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 173, 187, 349, 402, 698.

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}.