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LCM of 374, 469, 469, 513, 227

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


Find the LCM of 374, 469, 469, 513, 227 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 374, 469, 469, 513, 227. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 374,469,469,513,227

Given numbers are 374,469,469,513,227

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

The LCM of 374,469,469,513,227 is 20426204106.

Find LCM of 374,469,469,513,227 with Prime Factorization


7 374, 469, 469, 513, 227
67 374, 67, 67, 513, 227
374, 1, 1, 513, 227

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

7 x 67 x 374 x 1 x 1 x 513 x 227 = 20426204106

Therefore, the lowest common multiple of 374,469,469,513,227 is 20426204106.

LCM Formula to Find Lowest Common Multiple of 374,469,469,513,227

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.

374 x 469 x 469 x 513 x 227 = 9579889725714

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.

374 : 1, 2, 11, 17, 22, 34, 187, 374

469 : 1, 7, 67, 469

469 : 1, 7, 67, 469

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

227 : 1, 227

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,469,469,513,227, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

469:7x 67

469:7x 67

513:3x 3x 3x 19

227:227

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

7x 67 = 469

Therefore, the value for common factors is 469.

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 = 9579889725714/(1x469)

LCM = 9579889725714/469

LCM = 20426204106

Thus, we can understand that the LCM of 374,469,469,513,227 is 20426204106.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 374, 469, 469, 513, 227

1. What is the LCM of 374, 469, 469, 513, 227?

Answer: LCM of 374, 469, 469, 513, 227 is 20426204106.

2. How to calculate the LCM of 374, 469, 469, 513, 227?

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 374, 469, 469, 513, 227.

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}.