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LCM of 660, 104, 221, 508

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


Find the LCM of 660, 104, 221, 508 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 660, 104, 221, 508. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 660,104,221,508

Given numbers are 660,104,221,508

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

The LCM of 660,104,221,508 is 37048440.

Find LCM of 660,104,221,508 with Prime Factorization


2 660, 104, 221, 508
2 330, 52, 221, 254
13 165, 26, 221, 127
165, 2, 17, 127

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

2 x 2 x 13 x 165 x 2 x 17 x 127 = 37048440

Therefore, the lowest common multiple of 660,104,221,508 is 37048440.

LCM Formula to Find Lowest Common Multiple of 660,104,221,508

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.

660 x 104 x 221 x 508 = 7706075520

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.

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

221 : 1, 13, 17, 221

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 660,104,221,508, is 1.

Now, the common factors can be found like this.

660:2x 2x 3x 5x 11

104:2x 2x 2x 13

221:13x 17

508:2x 2x 127

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 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 7706075520/(1x208)

LCM = 7706075520/208

LCM = 37048440

Thus, we can understand that the LCM of 660,104,221,508 is 37048440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 660, 104, 221, 508

1. What is the LCM of 660, 104, 221, 508?

Answer: LCM of 660, 104, 221, 508 is 37048440.

2. How to calculate the LCM of 660, 104, 221, 508?

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 660, 104, 221, 508.

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}.