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LCM of 304, 637, 396, 860

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


Find the LCM of 304, 637, 396, 860 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 304, 637, 396, 860. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 304,637,396,860

Given numbers are 304,637,396,860

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

The LCM of 304,637,396,860 is 4121797680.

Find LCM of 304,637,396,860 with Prime Factorization


2 304, 637, 396, 860
2 152, 637, 198, 430
76, 637, 99, 215

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

2 x 2 x 76 x 637 x 99 x 215 = 4121797680

Therefore, the lowest common multiple of 304,637,396,860 is 4121797680.

LCM Formula to Find Lowest Common Multiple of 304,637,396,860

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.

304 x 637 x 396 x 860 = 65948762880

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

637 : 1, 7, 13, 49, 91, 637

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,637,396,860, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

637:7x 7x 13

396:2x 2x 3x 3x 11

860:2x 2x 5x 43

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 2 = 16

Therefore, the value for common factors is 16.

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 = 65948762880/(1x16)

LCM = 65948762880/16

LCM = 4121797680

Thus, we can understand that the LCM of 304,637,396,860 is 4121797680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 304, 637, 396, 860

1. What is the LCM of 304, 637, 396, 860?

Answer: LCM of 304, 637, 396, 860 is 4121797680.

2. How to calculate the LCM of 304, 637, 396, 860?

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 304, 637, 396, 860.

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}.