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LCM of 958, 904, 333

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


Find the LCM of 958, 904, 333 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 958, 904, 333. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,904,333

Given numbers are 958,904,333

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

The LCM of 958,904,333 is 144194328.

Find LCM of 958,904,333 with Prime Factorization


2 958, 904, 333
479, 452, 333

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

2 x 479 x 452 x 333 = 144194328

Therefore, the lowest common multiple of 958,904,333 is 144194328.

LCM Formula to Find Lowest Common Multiple of 958,904,333

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.

958 x 904 x 333 = 288388656

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.

958 : 1, 2, 479, 958

904 : 1, 2, 4, 8, 113, 226, 452, 904

333 : 1, 3, 9, 37, 111, 333

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,904,333, is 1.

Now, the common factors can be found like this.

958:2x 479

904:2x 2x 2x 113

333:3x 3x 37

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

2 = 2

Therefore, the value for common factors is 2.

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 = 288388656/(1x2)

LCM = 288388656/2

LCM = 144194328

Thus, we can understand that the LCM of 958,904,333 is 144194328.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 958, 904, 333

1. What is the LCM of 958, 904, 333?

Answer: LCM of 958, 904, 333 is 144194328.

2. How to calculate the LCM of 958, 904, 333?

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 958, 904, 333.

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}.