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LCM of 1606, 6590

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


Find the LCM of 1606, 6590 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 1606, 6590. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1606,6590

Given numbers are 1606,6590

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

The LCM of 1606,6590 is 5291770.

Find LCM of 1606,6590 with Prime Factorization


2 1606, 6590
803, 3295

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

2 x 803 x 3295 = 5291770

Therefore, the lowest common multiple of 1606,6590 is 5291770.

LCM Formula to Find Lowest Common Multiple of 1606,6590

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.

1606 x 6590 = 10583540

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.

1606 : 1, 2, 11, 22, 73, 146, 803, 1606

6590 : 1, 2, 5, 10, 659, 1318, 3295, 6590

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1606,6590, is 2.

Now, the common factors can be found like this.

1606:2x 11x 73

6590:2x 5x 659

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 = 10583540/(2x1)

LCM = 10583540/2

LCM = 5291770

Thus, we can understand that the LCM of 1606,6590 is 5291770.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1606, 6590

1. What is the LCM of 1606, 6590?

Answer: LCM of 1606, 6590 is 5291770.

2. How to calculate the LCM of 1606, 6590?

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 1606, 6590.

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}.