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LCM of 818, 350, 513, 912

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


Find the LCM of 818, 350, 513, 912 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, 350, 513, 912. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 818,350,513,912

Given numbers are 818,350,513,912

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

The LCM of 818,350,513,912 is 587487600.

Find LCM of 818,350,513,912 with Prime Factorization


2 818, 350, 513, 912
3 409, 175, 513, 456
19 409, 175, 171, 152
409, 175, 9, 8

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

2 x 3 x 19 x 409 x 175 x 9 x 8 = 587487600

Therefore, the lowest common multiple of 818,350,513,912 is 587487600.

LCM Formula to Find Lowest Common Multiple of 818,350,513,912

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 350 x 513 x 912 = 133947172800

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

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

513 : 1, 3, 9, 19, 27, 57, 171, 513

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,350,513,912, is 1.

Now, the common factors can be found like this.

818:2x 409

350:2x 5x 5x 7

513:3x 3x 3x 19

912:2x 2x 2x 2x 3x 19

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 3x 19 = 228

Therefore, the value for common factors is 228.

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 = 133947172800/(1x228)

LCM = 133947172800/228

LCM = 587487600

Thus, we can understand that the LCM of 818,350,513,912 is 587487600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 818, 350, 513, 912

1. What is the LCM of 818, 350, 513, 912?

Answer: LCM of 818, 350, 513, 912 is 587487600.

2. How to calculate the LCM of 818, 350, 513, 912?

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, 350, 513, 912.

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}.