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LCM of 998, 119, 782, 858, 424

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


Find the LCM of 998, 119, 782, 858, 424 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 998, 119, 782, 858, 424. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 998,119,782,858,424

Given numbers are 998,119,782,858,424

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

The LCM of 998,119,782,858,424 is 248426826648.

Find LCM of 998,119,782,858,424 with Prime Factorization


2 998, 119, 782, 858, 424
17 499, 119, 391, 429, 212
499, 7, 23, 429, 212

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

2 x 17 x 499 x 7 x 23 x 429 x 212 = 248426826648

Therefore, the lowest common multiple of 998,119,782,858,424 is 248426826648.

LCM Formula to Find Lowest Common Multiple of 998,119,782,858,424

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.

998 x 119 x 782 x 858 x 424 = 33786048424128

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.

998 : 1, 2, 499, 998

119 : 1, 7, 17, 119

782 : 1, 2, 17, 23, 34, 46, 391, 782

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 998,119,782,858,424, is 1.

Now, the common factors can be found like this.

998:2x 499

119:7x 17

782:2x 17x 23

858:2x 3x 11x 13

424:2x 2x 2x 53

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 17 = 136

Therefore, the value for common factors is 136.

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 = 33786048424128/(1x136)

LCM = 33786048424128/136

LCM = 248426826648

Thus, we can understand that the LCM of 998,119,782,858,424 is 248426826648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 998, 119, 782, 858, 424

1. What is the LCM of 998, 119, 782, 858, 424?

Answer: LCM of 998, 119, 782, 858, 424 is 248426826648.

2. How to calculate the LCM of 998, 119, 782, 858, 424?

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 998, 119, 782, 858, 424.

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}.