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LCM of 407, 204, 493, 220

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


Find the LCM of 407, 204, 493, 220 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 407, 204, 493, 220. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,204,493,220

Given numbers are 407,204,493,220

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

The LCM of 407,204,493,220 is 12039060.

Find LCM of 407,204,493,220 with Prime Factorization


2 407, 204, 493, 220
2 407, 102, 493, 110
11 407, 51, 493, 55
17 37, 51, 493, 5
37, 3, 29, 5

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

2 x 2 x 11 x 17 x 37 x 3 x 29 x 5 = 12039060

Therefore, the lowest common multiple of 407,204,493,220 is 12039060.

LCM Formula to Find Lowest Common Multiple of 407,204,493,220

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.

407 x 204 x 493 x 220 = 9005216880

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.

407 : 1, 11, 37, 407

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

493 : 1, 17, 29, 493

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,204,493,220, is 1.

Now, the common factors can be found like this.

407:11x 37

204:2x 2x 3x 17

493:17x 29

220:2x 2x 5x 11

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 11x 17 = 748

Therefore, the value for common factors is 748.

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 = 9005216880/(1x748)

LCM = 9005216880/748

LCM = 12039060

Thus, we can understand that the LCM of 407,204,493,220 is 12039060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 204, 493, 220

1. What is the LCM of 407, 204, 493, 220?

Answer: LCM of 407, 204, 493, 220 is 12039060.

2. How to calculate the LCM of 407, 204, 493, 220?

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 407, 204, 493, 220.

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}.