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LCM of 958, 975, 555, 165, 330

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


Find the LCM of 958, 975, 555, 165, 330 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, 975, 555, 165, 330. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 958,975,555,165,330

Given numbers are 958,975,555,165,330

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

The LCM of 958,975,555,165,330 is 380158350.

Find LCM of 958,975,555,165,330 with Prime Factorization


2 958, 975, 555, 165, 330
3 479, 975, 555, 165, 165
5 479, 325, 185, 55, 55
11 479, 65, 37, 11, 11
479, 65, 37, 1, 1

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

2 x 3 x 5 x 11 x 479 x 65 x 37 x 1 x 1 = 380158350

Therefore, the lowest common multiple of 958,975,555,165,330 is 380158350.

LCM Formula to Find Lowest Common Multiple of 958,975,555,165,330

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 975 x 555 x 165 x 330 = 28226757487500

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

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

555 : 1, 3, 5, 15, 37, 111, 185, 555

165 : 1, 3, 5, 11, 15, 33, 55, 165

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 958,975,555,165,330, is 1.

Now, the common factors can be found like this.

958:2x 479

975:3x 5x 5x 13

555:3x 5x 37

165:3x 5x 11

330:2x 3x 5x 11

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

2x 3x 3x 3x 5x 5x 5x 11 = 74250

Therefore, the value for common factors is 74250.

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 = 28226757487500/(1x74250)

LCM = 28226757487500/74250

LCM = 380158350

Thus, we can understand that the LCM of 958,975,555,165,330 is 380158350.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 958, 975, 555, 165, 330

1. What is the LCM of 958, 975, 555, 165, 330?

Answer: LCM of 958, 975, 555, 165, 330 is 380158350.

2. How to calculate the LCM of 958, 975, 555, 165, 330?

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, 975, 555, 165, 330.

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}.