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LCM of 945, 589, 884, 279, 393

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


Find the LCM of 945, 589, 884, 279, 393 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 945, 589, 884, 279, 393. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 945,589,884,279,393

Given numbers are 945,589,884,279,393

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

The LCM of 945,589,884,279,393 is 64457085420.

Find LCM of 945,589,884,279,393 with Prime Factorization


3 945, 589, 884, 279, 393
3 315, 589, 884, 93, 131
31 105, 589, 884, 31, 131
105, 19, 884, 1, 131

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

3 x 3 x 31 x 105 x 19 x 884 x 1 x 131 = 64457085420

Therefore, the lowest common multiple of 945,589,884,279,393 is 64457085420.

LCM Formula to Find Lowest Common Multiple of 945,589,884,279,393

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.

945 x 589 x 884 x 279 x 393 = 53950580496540

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.

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

589 : 1, 19, 31, 589

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

279 : 1, 3, 9, 31, 93, 279

393 : 1, 3, 131, 393

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,589,884,279,393, is 1.

Now, the common factors can be found like this.

945:3x 3x 3x 5x 7

589:19x 31

884:2x 2x 13x 17

279:3x 3x 31

393:3x 131

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 3x 31 = 837

Therefore, the value for common factors is 837.

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 = 53950580496540/(1x837)

LCM = 53950580496540/837

LCM = 64457085420

Thus, we can understand that the LCM of 945,589,884,279,393 is 64457085420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 945, 589, 884, 279, 393

1. What is the LCM of 945, 589, 884, 279, 393?

Answer: LCM of 945, 589, 884, 279, 393 is 64457085420.

2. How to calculate the LCM of 945, 589, 884, 279, 393?

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 945, 589, 884, 279, 393.

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}.