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LCM of 993, 161, 582, 598, 828

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


Find the LCM of 993, 161, 582, 598, 828 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 993, 161, 582, 598, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 993,161,582,598,828

Given numbers are 993,161,582,598,828

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

The LCM of 993,161,582,598,828 is 2419198236.

Find LCM of 993,161,582,598,828 with Prime Factorization


2 993, 161, 582, 598, 828
3 993, 161, 291, 299, 414
23 331, 161, 97, 299, 138
331, 7, 97, 13, 6

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

2 x 3 x 23 x 331 x 7 x 97 x 13 x 6 = 2419198236

Therefore, the lowest common multiple of 993,161,582,598,828 is 2419198236.

LCM Formula to Find Lowest Common Multiple of 993,161,582,598,828

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.

993 x 161 x 582 x 598 x 828 = 46071211206384

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.

993 : 1, 3, 331, 993

161 : 1, 7, 23, 161

582 : 1, 2, 3, 6, 97, 194, 291, 582

598 : 1, 2, 13, 23, 26, 46, 299, 598

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,161,582,598,828, is 1.

Now, the common factors can be found like this.

993:3x 331

161:7x 23

582:2x 3x 97

598:2x 13x 23

828:2x 2x 3x 3x 23

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 23x 23 = 19044

Therefore, the value for common factors is 19044.

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 = 46071211206384/(1x19044)

LCM = 46071211206384/19044

LCM = 2419198236

Thus, we can understand that the LCM of 993,161,582,598,828 is 2419198236.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 993, 161, 582, 598, 828

1. What is the LCM of 993, 161, 582, 598, 828?

Answer: LCM of 993, 161, 582, 598, 828 is 2419198236.

2. How to calculate the LCM of 993, 161, 582, 598, 828?

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 993, 161, 582, 598, 828.

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}.