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LCM of 363, 943, 943, 973

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


Find the LCM of 363, 943, 943, 973 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 363, 943, 943, 973. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,943,943,973

Given numbers are 363,943,943,973

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

The LCM of 363,943,943,973 is 333066657.

Find LCM of 363,943,943,973 with Prime Factorization


23 363, 943, 943, 973
41 363, 41, 41, 973
363, 1, 1, 973

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

23 x 41 x 363 x 1 x 1 x 973 = 333066657

Therefore, the lowest common multiple of 363,943,943,973 is 333066657.

LCM Formula to Find Lowest Common Multiple of 363,943,943,973

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.

363 x 943 x 943 x 973 = 314081857551

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.

363 : 1, 3, 11, 33, 121, 363

943 : 1, 23, 41, 943

943 : 1, 23, 41, 943

973 : 1, 7, 139, 973

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,943,943,973, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

943:23x 41

943:23x 41

973:7x 139

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

23x 41 = 943

Therefore, the value for common factors is 943.

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 = 314081857551/(1x943)

LCM = 314081857551/943

LCM = 333066657

Thus, we can understand that the LCM of 363,943,943,973 is 333066657.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 943, 943, 973

1. What is the LCM of 363, 943, 943, 973?

Answer: LCM of 363, 943, 943, 973 is 333066657.

2. How to calculate the LCM of 363, 943, 943, 973?

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 363, 943, 943, 973.

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}.