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LCM of 5, 473, 715, 903

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


Find the LCM of 5, 473, 715, 903 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 5, 473, 715, 903. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5,473,715,903

Given numbers are 5,473,715,903

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

The LCM of 5,473,715,903 is 645645.

Find LCM of 5,473,715,903 with Prime Factorization


5 5, 473, 715, 903
11 1, 473, 143, 903
43 1, 43, 13, 903
1, 1, 13, 21

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

5 x 11 x 43 x 1 x 1 x 13 x 21 = 645645

Therefore, the lowest common multiple of 5,473,715,903 is 645645.

LCM Formula to Find Lowest Common Multiple of 5,473,715,903

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.

5 x 473 x 715 x 903 = 1526950425

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.

5 : 1, 5

473 : 1, 11, 43, 473

715 : 1, 5, 11, 13, 55, 65, 143, 715

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5,473,715,903, is 1.

Now, the common factors can be found like this.

5:5

473:11x 43

715:5x 11x 13

903:3x 7x 43

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

5x 11x 43 = 2365

Therefore, the value for common factors is 2365.

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 = 1526950425/(1x2365)

LCM = 1526950425/2365

LCM = 645645

Thus, we can understand that the LCM of 5,473,715,903 is 645645.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 5, 473, 715, 903

1. What is the LCM of 5, 473, 715, 903?

Answer: LCM of 5, 473, 715, 903 is 645645.

2. How to calculate the LCM of 5, 473, 715, 903?

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 5, 473, 715, 903.

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}.