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LCM of 834, 884, 998, 514

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


Find the LCM of 834, 884, 998, 514 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 834, 884, 998, 514. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 834,884,998,514

Given numbers are 834,884,998,514

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

The LCM of 834,884,998,514 is 47273960604.

Find LCM of 834,884,998,514 with Prime Factorization


2 834, 884, 998, 514
417, 442, 499, 257

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

2 x 417 x 442 x 499 x 257 = 47273960604

Therefore, the lowest common multiple of 834,884,998,514 is 47273960604.

LCM Formula to Find Lowest Common Multiple of 834,884,998,514

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.

834 x 884 x 998 x 514 = 378191684832

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.

834 : 1, 2, 3, 6, 139, 278, 417, 834

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

998 : 1, 2, 499, 998

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,884,998,514, is 2.

Now, the common factors can be found like this.

834:2x 3x 139

884:2x 2x 13x 17

998:2x 499

514:2x 257

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 378191684832/(2x4)

LCM = 378191684832/8

LCM = 47273960604

Thus, we can understand that the LCM of 834,884,998,514 is 47273960604.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 834, 884, 998, 514

1. What is the LCM of 834, 884, 998, 514?

Answer: LCM of 834, 884, 998, 514 is 47273960604.

2. How to calculate the LCM of 834, 884, 998, 514?

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 834, 884, 998, 514.

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}.