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LCM of 903, 384, 733, 913

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


Find the LCM of 903, 384, 733, 913 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 903, 384, 733, 913. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 903,384,733,913

Given numbers are 903,384,733,913

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

The LCM of 903,384,733,913 is 77352164736.

Find LCM of 903,384,733,913 with Prime Factorization


3 903, 384, 733, 913
301, 128, 733, 913

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

3 x 301 x 128 x 733 x 913 = 77352164736

Therefore, the lowest common multiple of 903,384,733,913 is 77352164736.

LCM Formula to Find Lowest Common Multiple of 903,384,733,913

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.

903 x 384 x 733 x 913 = 232056494208

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.

903 : 1, 3, 7, 21, 43, 129, 301, 903

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

733 : 1, 733

913 : 1, 11, 83, 913

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,384,733,913, is 1.

Now, the common factors can be found like this.

903:3x 7x 43

384:2x 2x 2x 2x 2x 2x 2x 3

733:733

913:11x 83

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

3 = 3

Therefore, the value for common factors is 3.

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 = 232056494208/(1x3)

LCM = 232056494208/3

LCM = 77352164736

Thus, we can understand that the LCM of 903,384,733,913 is 77352164736.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 903, 384, 733, 913

1. What is the LCM of 903, 384, 733, 913?

Answer: LCM of 903, 384, 733, 913 is 77352164736.

2. How to calculate the LCM of 903, 384, 733, 913?

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 903, 384, 733, 913.

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}.