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LCM of 594, 566, 122, 993, 890

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


Find the LCM of 594, 566, 122, 993, 890 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, 566, 122, 993, 890. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 594,566,122,993,890

Given numbers are 594,566,122,993,890

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

The LCM of 594,566,122,993,890 is 1510395629490.

Find LCM of 594,566,122,993,890 with Prime Factorization


2 594, 566, 122, 993, 890
3 297, 283, 61, 993, 445
99, 283, 61, 331, 445

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

2 x 3 x 99 x 283 x 61 x 331 x 445 = 1510395629490

Therefore, the lowest common multiple of 594,566,122,993,890 is 1510395629490.

LCM Formula to Find Lowest Common Multiple of 594,566,122,993,890

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 566 x 122 x 993 x 890 = 36249495107760

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

566 : 1, 2, 283, 566

122 : 1, 2, 61, 122

993 : 1, 3, 331, 993

890 : 1, 2, 5, 10, 89, 178, 445, 890

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,566,122,993,890, is 1.

Now, the common factors can be found like this.

594:2x 3x 3x 3x 11

566:2x 283

122:2x 61

993:3x 331

890:2x 5x 89

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 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 36249495107760/(1x24)

LCM = 36249495107760/24

LCM = 1510395629490

Thus, we can understand that the LCM of 594,566,122,993,890 is 1510395629490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 594, 566, 122, 993, 890

1. What is the LCM of 594, 566, 122, 993, 890?

Answer: LCM of 594, 566, 122, 993, 890 is 1510395629490.

2. How to calculate the LCM of 594, 566, 122, 993, 890?

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, 566, 122, 993, 890.

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}.