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LCM of 818, 835, 286, 504

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


Find the LCM of 818, 835, 286, 504 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 818, 835, 286, 504. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 818,835,286,504

Given numbers are 818,835,286,504

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

The LCM of 818,835,286,504 is 24613669080.

Find LCM of 818,835,286,504 with Prime Factorization


2 818, 835, 286, 504
409, 835, 143, 252

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

2 x 409 x 835 x 143 x 252 = 24613669080

Therefore, the lowest common multiple of 818,835,286,504 is 24613669080.

LCM Formula to Find Lowest Common Multiple of 818,835,286,504

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.

818 x 835 x 286 x 504 = 98454676320

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.

818 : 1, 2, 409, 818

835 : 1, 5, 167, 835

286 : 1, 2, 11, 13, 22, 26, 143, 286

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,835,286,504, is 1.

Now, the common factors can be found like this.

818:2x 409

835:5x 167

286:2x 11x 13

504:2x 2x 2x 3x 3x 7

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 = 98454676320/(1x4)

LCM = 98454676320/4

LCM = 24613669080

Thus, we can understand that the LCM of 818,835,286,504 is 24613669080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 818, 835, 286, 504

1. What is the LCM of 818, 835, 286, 504?

Answer: LCM of 818, 835, 286, 504 is 24613669080.

2. How to calculate the LCM of 818, 835, 286, 504?

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 818, 835, 286, 504.

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}.