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LCM of 372, 338, 806, 555

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


Find the LCM of 372, 338, 806, 555 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 372, 338, 806, 555. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 372,338,806,555

Given numbers are 372,338,806,555

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

The LCM of 372,338,806,555 is 11630580.

Find LCM of 372,338,806,555 with Prime Factorization


2 372, 338, 806, 555
3 186, 169, 403, 555
13 62, 169, 403, 185
31 62, 13, 31, 185
2, 13, 1, 185

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

2 x 3 x 13 x 31 x 2 x 13 x 1 x 185 = 11630580

Therefore, the lowest common multiple of 372,338,806,555 is 11630580.

LCM Formula to Find Lowest Common Multiple of 372,338,806,555

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.

372 x 338 x 806 x 555 = 56245484880

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.

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

338 : 1, 2, 13, 26, 169, 338

806 : 1, 2, 13, 26, 31, 62, 403, 806

555 : 1, 3, 5, 15, 37, 111, 185, 555

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 372,338,806,555, is 1.

Now, the common factors can be found like this.

372:2x 2x 3x 31

338:2x 13x 13

806:2x 13x 31

555:3x 5x 37

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 3x 13x 31 = 4836

Therefore, the value for common factors is 4836.

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 = 56245484880/(1x4836)

LCM = 56245484880/4836

LCM = 11630580

Thus, we can understand that the LCM of 372,338,806,555 is 11630580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 372, 338, 806, 555

1. What is the LCM of 372, 338, 806, 555?

Answer: LCM of 372, 338, 806, 555 is 11630580.

2. How to calculate the LCM of 372, 338, 806, 555?

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 372, 338, 806, 555.

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}.