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LCM of 594, 990, 547, 606

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


Find the LCM of 594, 990, 547, 606 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 594, 990, 547, 606. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 594,990,547,606

Given numbers are 594,990,547,606

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

The LCM of 594,990,547,606 is 164083590.

Find LCM of 594,990,547,606 with Prime Factorization


2 594, 990, 547, 606
3 297, 495, 547, 303
3 99, 165, 547, 101
11 33, 55, 547, 101
3, 5, 547, 101

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

2 x 3 x 3 x 11 x 3 x 5 x 547 x 101 = 164083590

Therefore, the lowest common multiple of 594,990,547,606 is 164083590.

LCM Formula to Find Lowest Common Multiple of 594,990,547,606

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.

594 x 990 x 547 x 606 = 194931304920

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.

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

547 : 1, 547

606 : 1, 2, 3, 6, 101, 202, 303, 606

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,990,547,606, is 1.

Now, the common factors can be found like this.

594:2x 3x 3x 3x 11

990:2x 3x 3x 5x 11

547:547

606:2x 3x 101

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

2x 2x 3x 3x 3x 11 = 1188

Therefore, the value for common factors is 1188.

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 = 194931304920/(1x1188)

LCM = 194931304920/1188

LCM = 164083590

Thus, we can understand that the LCM of 594,990,547,606 is 164083590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 594, 990, 547, 606

1. What is the LCM of 594, 990, 547, 606?

Answer: LCM of 594, 990, 547, 606 is 164083590.

2. How to calculate the LCM of 594, 990, 547, 606?

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 594, 990, 547, 606.

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}.