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LCM of 818, 469, 186, 224

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


Find the LCM of 818, 469, 186, 224 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, 469, 186, 224. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 818,469,186,224

Given numbers are 818,469,186,224

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

The LCM of 818,469,186,224 is 570859296.

Find LCM of 818,469,186,224 with Prime Factorization


2 818, 469, 186, 224
7 409, 469, 93, 112
409, 67, 93, 16

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

2 x 7 x 409 x 67 x 93 x 16 = 570859296

Therefore, the lowest common multiple of 818,469,186,224 is 570859296.

LCM Formula to Find Lowest Common Multiple of 818,469,186,224

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 469 x 186 x 224 = 15984060288

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

469 : 1, 7, 67, 469

186 : 1, 2, 3, 6, 31, 62, 93, 186

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,469,186,224, is 1.

Now, the common factors can be found like this.

818:2x 409

469:7x 67

186:2x 3x 31

224:2x 2x 2x 2x 2x 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 2x 7 = 28

Therefore, the value for common factors is 28.

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 = 15984060288/(1x28)

LCM = 15984060288/28

LCM = 570859296

Thus, we can understand that the LCM of 818,469,186,224 is 570859296.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 818, 469, 186, 224

1. What is the LCM of 818, 469, 186, 224?

Answer: LCM of 818, 469, 186, 224 is 570859296.

2. How to calculate the LCM of 818, 469, 186, 224?

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, 469, 186, 224.

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}.