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LCM of 933, 657, 219, 577

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


Find the LCM of 933, 657, 219, 577 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 933, 657, 219, 577. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 933,657,219,577

Given numbers are 933,657,219,577

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

The LCM of 933,657,219,577 is 117896679.

Find LCM of 933,657,219,577 with Prime Factorization


3 933, 657, 219, 577
73 311, 219, 73, 577
311, 3, 1, 577

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

3 x 73 x 311 x 3 x 1 x 577 = 117896679

Therefore, the lowest common multiple of 933,657,219,577 is 117896679.

LCM Formula to Find Lowest Common Multiple of 933,657,219,577

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.

933 x 657 x 219 x 577 = 77458118103

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.

933 : 1, 3, 311, 933

657 : 1, 3, 9, 73, 219, 657

219 : 1, 3, 73, 219

577 : 1, 577

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,657,219,577, is 1.

Now, the common factors can be found like this.

933:3x 311

657:3x 3x 73

219:3x 73

577:577

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

3x 3x 73 = 657

Therefore, the value for common factors is 657.

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 = 77458118103/(1x657)

LCM = 77458118103/657

LCM = 117896679

Thus, we can understand that the LCM of 933,657,219,577 is 117896679.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 933, 657, 219, 577

1. What is the LCM of 933, 657, 219, 577?

Answer: LCM of 933, 657, 219, 577 is 117896679.

2. How to calculate the LCM of 933, 657, 219, 577?

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 933, 657, 219, 577.

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}.