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LCM of 1617, 6655

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


Find the LCM of 1617, 6655 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 1617, 6655. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1617,6655

Given numbers are 1617,6655

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

The LCM of 1617,6655 is 978285.

Find LCM of 1617,6655 with Prime Factorization


11 1617, 6655
147, 605

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

11 x 147 x 605 = 978285

Therefore, the lowest common multiple of 1617,6655 is 978285.

LCM Formula to Find Lowest Common Multiple of 1617,6655

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.

1617 x 6655 = 10761135

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.

1617 : 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617

6655 : 1, 5, 11, 55, 121, 605, 1331, 6655

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1617,6655, is 11.

Now, the common factors can be found like this.

1617:3x 7x 7x 11

6655:5x 11x 11x 11

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

= 1

Therefore, the value for common factors is 1.

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 = 10761135/(11x1)

LCM = 10761135/11

LCM = 978285

Thus, we can understand that the LCM of 1617,6655 is 978285.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1617, 6655

1. What is the LCM of 1617, 6655?

Answer: LCM of 1617, 6655 is 978285.

2. How to calculate the LCM of 1617, 6655?

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 1617, 6655.

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}.