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LCM of 818, 689, 208, 804

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


Find the LCM of 818, 689, 208, 804 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, 689, 208, 804. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 818,689,208,804

Given numbers are 818,689,208,804

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

The LCM of 818,689,208,804 is 906272016.

Find LCM of 818,689,208,804 with Prime Factorization


2 818, 689, 208, 804
2 409, 689, 104, 402
13 409, 689, 52, 201
409, 53, 4, 201

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

2 x 2 x 13 x 409 x 53 x 4 x 201 = 906272016

Therefore, the lowest common multiple of 818,689,208,804 is 906272016.

LCM Formula to Find Lowest Common Multiple of 818,689,208,804

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 689 x 208 x 804 = 94252289664

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

689 : 1, 13, 53, 689

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,689,208,804, is 1.

Now, the common factors can be found like this.

818:2x 409

689:13x 53

208:2x 2x 2x 2x 13

804:2x 2x 3x 67

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 13 = 104

Therefore, the value for common factors is 104.

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 = 94252289664/(1x104)

LCM = 94252289664/104

LCM = 906272016

Thus, we can understand that the LCM of 818,689,208,804 is 906272016.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 818, 689, 208, 804

1. What is the LCM of 818, 689, 208, 804?

Answer: LCM of 818, 689, 208, 804 is 906272016.

2. How to calculate the LCM of 818, 689, 208, 804?

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, 689, 208, 804.

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}.