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LCM of 988, 456, 597, 809

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


Find the LCM of 988, 456, 597, 809 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 988, 456, 597, 809. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 988,456,597,809

Given numbers are 988,456,597,809

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

The LCM of 988,456,597,809 is 954354648.

Find LCM of 988,456,597,809 with Prime Factorization


2 988, 456, 597, 809
2 494, 228, 597, 809
3 247, 114, 597, 809
19 247, 38, 199, 809
13, 2, 199, 809

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

2 x 2 x 3 x 19 x 13 x 2 x 199 x 809 = 954354648

Therefore, the lowest common multiple of 988,456,597,809 is 954354648.

LCM Formula to Find Lowest Common Multiple of 988,456,597,809

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.

988 x 456 x 597 x 809 = 217592859744

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.

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

597 : 1, 3, 199, 597

809 : 1, 809

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,456,597,809, is 1.

Now, the common factors can be found like this.

988:2x 2x 13x 19

456:2x 2x 2x 3x 19

597:3x 199

809:809

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 19 = 228

Therefore, the value for common factors is 228.

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 = 217592859744/(1x228)

LCM = 217592859744/228

LCM = 954354648

Thus, we can understand that the LCM of 988,456,597,809 is 954354648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 988, 456, 597, 809

1. What is the LCM of 988, 456, 597, 809?

Answer: LCM of 988, 456, 597, 809 is 954354648.

2. How to calculate the LCM of 988, 456, 597, 809?

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 988, 456, 597, 809.

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}.