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LCM of 263, 791, 336, 818

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


Find the LCM of 263, 791, 336, 818 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 263, 791, 336, 818. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 263,791,336,818

Given numbers are 263,791,336,818

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

The LCM of 263,791,336,818 is 4084103856.

Find LCM of 263,791,336,818 with Prime Factorization


2 263, 791, 336, 818
7 263, 791, 168, 409
263, 113, 24, 409

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

2 x 7 x 263 x 113 x 24 x 409 = 4084103856

Therefore, the lowest common multiple of 263,791,336,818 is 4084103856.

LCM Formula to Find Lowest Common Multiple of 263,791,336,818

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.

263 x 791 x 336 x 818 = 57177453984

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.

263 : 1, 263

791 : 1, 7, 113, 791

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

818 : 1, 2, 409, 818

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 263,791,336,818, is 1.

Now, the common factors can be found like this.

263:263

791:7x 113

336:2x 2x 2x 2x 3x 7

818:2x 409

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 57177453984/(1x14)

LCM = 57177453984/14

LCM = 4084103856

Thus, we can understand that the LCM of 263,791,336,818 is 4084103856.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 263, 791, 336, 818

1. What is the LCM of 263, 791, 336, 818?

Answer: LCM of 263, 791, 336, 818 is 4084103856.

2. How to calculate the LCM of 263, 791, 336, 818?

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 263, 791, 336, 818.

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}.