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LCM of 198, 517, 496, 837

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


Find the LCM of 198, 517, 496, 837 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 198, 517, 496, 837. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 198,517,496,837

Given numbers are 198,517,496,837

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

The LCM of 198,517,496,837 is 6923664.

Find LCM of 198,517,496,837 with Prime Factorization


2 198, 517, 496, 837
3 99, 517, 248, 837
3 33, 517, 248, 279
11 11, 517, 248, 93
31 1, 47, 248, 93
1, 47, 8, 3

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

2 x 3 x 3 x 11 x 31 x 1 x 47 x 8 x 3 = 6923664

Therefore, the lowest common multiple of 198,517,496,837 is 6923664.

LCM Formula to Find Lowest Common Multiple of 198,517,496,837

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.

198 x 517 x 496 x 837 = 42497449632

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.

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

517 : 1, 11, 47, 517

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

837 : 1, 3, 9, 27, 31, 93, 279, 837

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 198,517,496,837, is 1.

Now, the common factors can be found like this.

198:2x 3x 3x 11

517:11x 47

496:2x 2x 2x 2x 31

837:3x 3x 3x 31

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

2x 3x 3x 11x 31 = 6138

Therefore, the value for common factors is 6138.

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 = 42497449632/(1x6138)

LCM = 42497449632/6138

LCM = 6923664

Thus, we can understand that the LCM of 198,517,496,837 is 6923664.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 198, 517, 496, 837

1. What is the LCM of 198, 517, 496, 837?

Answer: LCM of 198, 517, 496, 837 is 6923664.

2. How to calculate the LCM of 198, 517, 496, 837?

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 198, 517, 496, 837.

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}.