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LCM of 963, 572, 221, 923

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


Find the LCM of 963, 572, 221, 923 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 963, 572, 221, 923. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 963,572,221,923

Given numbers are 963,572,221,923

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

The LCM of 963,572,221,923 is 664859052.

Find LCM of 963,572,221,923 with Prime Factorization


13 963, 572, 221, 923
963, 44, 17, 71

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

13 x 963 x 44 x 17 x 71 = 664859052

Therefore, the lowest common multiple of 963,572,221,923 is 664859052.

LCM Formula to Find Lowest Common Multiple of 963,572,221,923

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.

963 x 572 x 221 x 923 = 112361179788

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.

963 : 1, 3, 9, 107, 321, 963

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

221 : 1, 13, 17, 221

923 : 1, 13, 71, 923

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,572,221,923, is 1.

Now, the common factors can be found like this.

963:3x 3x 107

572:2x 2x 11x 13

221:13x 17

923:13x 71

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 112361179788/(1x169)

LCM = 112361179788/169

LCM = 664859052

Thus, we can understand that the LCM of 963,572,221,923 is 664859052.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 963, 572, 221, 923

1. What is the LCM of 963, 572, 221, 923?

Answer: LCM of 963, 572, 221, 923 is 664859052.

2. How to calculate the LCM of 963, 572, 221, 923?

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 963, 572, 221, 923.

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}.